Illustration for EIS A001400 and A061924
========================================

Card games with 4 players and 4 suits, n cards per suit
(e.g. bridge: 4 * 13 cards).  The probability in percent
is shown, because it's sometimes erroneous in the older
bridge literature.

The total number of patterns for n cards is sequence
A001400 in EIS: 1,1,2,3,5,6,9,11,15,18,23,27,34,39 etc.

The number of combinations for n cards is sequence
A061924 in EIS: 1,4,56,1320,43680,1860480,96909120 etc.

    Pattern | Number of combinations | Percent
------------+------------------------+----------------
 0  0  0  0 |                      1 | 100.0000000000
 total:   1 |                      1 | 100.0000000000
------------+------------------------+----------------
 1  0  0  0 |                      4 | 100.0000000000
 total:   1 |                      4 | 100.0000000000
------------+------------------------+----------------
 2  0  0  0 |                      8 |  14.2857142857
 1  1  0  0 |                     48 |  85.7142857143
 total:   2 |                     56 | 100.0000000000
------------+------------------------+----------------
 3  0  0  0 |                     24 |   1.8181818182
 2  1  0  0 |                    648 |  49.0909090909
 1  1  1  0 |                    648 |  49.0909090909
 total:   3 |                   1320 | 100.0000000000
------------+------------------------+----------------
 4  0  0  0 |                     96 |   0.2197802198
 3  1  0  0 |                   4608 |  10.5494505495
 2  2  0  0 |                   5184 |  11.8681318681
 2  1  1  0 |                  27648 |  63.2967032967
 1  1  1  1 |                   6144 |  14.0659340659
 total:   5 |                  43680 | 100.0000000000
------------+------------------------+----------------
 5  0  0  0 |                    480 |   0.0257997936
 4  1  0  0 |                  36000 |   1.9349845201
 3  2  0  0 |                 144000 |   7.7399380805
 3  1  1  0 |                 360000 |  19.3498452012
 2  2  1  0 |                 720000 |  38.6996904025
 2  1  1  1 |                 600000 |  32.2497420021
 total:   6 |                1860480 | 100.0000000000
------------+------------------------+----------------
 6  0  0  0 |                   2880 |   0.0029718565
 5  1  0  0 |                 311040 |   0.3209605040
 4  2  0  0 |                1944000 |   2.0060031502
 4  1  1  0 |                4665600 |   4.8144075604
 3  3  0  0 |                1728000 |   1.7831139113
 3  2  1  0 |               31104000 |  32.0960504027
 3  1  1  1 |               12441600 |  12.8384201611
 2  2  2  0 |                9720000 |  10.0300157508
 2  2  1  1 |               34992000 |  36.1080567030
 total:   9 |               96909120 | 100.0000000000
------------+------------------------+----------------
 7  0  0  0 |                  20160 |   0.0003378264
 6  1  0  0 |                2963520 |   0.0496604844
 5  2  0  0 |               26671680 |   0.4469443600
 5  1  1  0 |               62233920 |   1.0428701733
 4  3  0  0 |               74088000 |   1.2415121111
 4  2  1  0 |              622339200 |  10.4287017330
 4  1  1  1 |              242020800 |   4.0556062295
 3  3  1  0 |              518616000 |   8.6905847775
 3  2  2  0 |              933508800 |  15.6430525996
 3  2  1  1 |             2178187200 |  36.5004560657
 2  2  2  1 |             1306912320 |  21.9002736394
 total:  11 |             5967561600 | 100.0000000000
------------+------------------------+----------------
 8  0  0  0 |                 161280 |   0.0000380290
 7  1  0  0 |               30965760 |   0.0073015601
 6  2  0  0 |              379330560 |   0.0894441117
 6  1  1  0 |              867041280 |   0.2044436839
 5  3  0  0 |             1517322240 |   0.3577764468
 5  2  1  0 |            12138577920 |   2.8622115741
 5  1  1  1 |             4624220160 |   1.0903663139
 4  4  0  0 |             1185408000 |   0.2795128490
 4  3  1  0 |            30346444800 |   7.1555289353
 4  2  2  0 |            26553139200 |   6.2610878184
 4  2  1  1 |            60692889600 |  14.3110578706
 3  3  2  0 |            42485022720 |  10.0177405094
 3  3  1  1 |            48554311680 |  11.4488462965
 3  2  2  1 |           169940090880 |  40.0709620376
 2  2  2  2 |            24782929920 |   5.8436819638
 total:  15 |           424097856000 | 100.0000000000
------------+------------------------+----------------
 9  0  0  0 |                1451520 |   0.0000042488
 8  1  0  0 |              352719360 |   0.0010324688
 7  2  0  0 |             5643509760 |   0.0165195009
 7  1  1  0 |            12697896960 |   0.0371688771
 6  3  0  0 |            30725775360 |   0.0899395050
 6  2  1  0 |           237027409920 |   0.6938190384
 6  1  1  1 |            88885278720 |   0.2601821394
 5  4  0  0 |            69132994560 |   0.2023638862
 5  3  1  0 |           829595934720 |   2.4283666343
 5  2  2  0 |           711082229760 |   2.0814571152
 5  2  1  1 |          1599935016960 |   4.6832785091
 4  4  1  0 |           622196951040 |   1.8212749758
 4  3  2  0 |          3318383738880 |   9.7134665374
 4  3  1  1 |          3733181706240 |  10.9276498546
 4  2  2  1 |          6399740067840 |  18.7331140364
 3  3  3  0 |           860321710080 |   2.5183061393
 3  3  2  1 |          9955151216640 |  29.1403996122
 3  2  2  2 |          5688657838080 |  16.6516569212
 total:  18 |         34162713446400 | 100.0000000000
------------+------------------------+----------------
10  0  0  0 |               14515200 |   0.0000004719
 9  1  0  0 |             4354560000 |   0.0001415661
 8  2  0  0 |            88179840000 |   0.0028667136
 8  1  1  0 |           195955200000 |   0.0063704748
 7  3  0  0 |           627056640000 |   0.0203855192
 7  2  1  0 |          4702924800000 |   0.1528913943
 7  1  1  1 |          1741824000000 |   0.0566264423
 6  4  0  0 |          1920360960000 |   0.0624306527
 6  3  1  0 |         21946982400000 |   0.7134931733
 6  2  2  0 |         18517766400000 |   0.6020098650
 6  2  1  1 |         41150592000000 |   1.3377996999
 5  5  0  0 |          1382659891200 |   0.0449500699
 5  4  1  0 |         46088663040000 |   1.4983356639
 5  3  2  0 |        118513704960000 |   3.8528631358
 5  3  1  1 |        131681894400000 |   4.2809590398
 5  2  2  1 |        222213196800000 |   7.2241183796
 4  4  2  0 |         86416243200000 |   2.8093793699
 4  4  1  1 |         96018048000000 |   3.1215326332
 4  3  3  0 |        131681894400000 |   4.2809590398
 4  3  2  1 |        987614208000000 |  32.1071927983
 4  2  2  2 |        277766496000000 |   9.0301479745
 3  3  3  1 |        250822656000000 |   8.1542076948
 3  3  2  2 |        634894848000000 |  20.6403382275
 total:  23 |       3075990524006400 | 100.0000000000
------------+------------------------+----------------
11  0  0  0 |              159667200 |   0.0000000522
10  1  0  0 |            57959193600 |   0.0000189325
 9  2  0  0 |          1448979840000 |   0.0004733133
 9  1  1  0 |          3187755648000 |   0.0010412892
 8  3  0  0 |         13040818560000 |   0.0042598194
 8  2  1  0 |         95632669440000 |   0.0312386760
 8  1  1  1 |         35065312128000 |   0.0114541812
 7  4  0  0 |         52163274240000 |   0.0170392778
 7  3  1  0 |        573796016640000 |   0.1874320558
 7  2  2  0 |        478163347200000 |   0.1561933798
 7  2  1  1 |       1051959363840000 |   0.3436254356
 6  5  0  0 |        102240017510400 |   0.0333969845
 6  4  1  0 |       1606628846592000 |   0.5248097562
 6  3  2  0 |       4016572116480000 |   1.3120243905
 6  3  1  1 |       4418229328128000 |   1.4432268295
 6  2  2  1 |       7363715546880000 |   2.4053780492
 5  5  1  0 |       1124640192614400 |   0.3673668293
 5  4  2  0 |       8033144232960000 |   2.6240487809
 5  4  1  1 |       8836458656256000 |   2.8864536590
 5  3  3  0 |       6024858174720000 |   1.9680365857
 5  3  2  1 |      44182293281280000 |  14.4322682952
 5  2  2  2 |      12272859244800000 |   4.0089634153
 4  4  3  0 |       8606940249600000 |   2.8114808367
 4  4  2  1 |      31558780915200000 |  10.3087630680
 4  3  3  1 |      47338171372800000 |  15.4631446020
 4  3  2  2 |      78896952288000000 |  25.7719076700
 3  3  3  2 |      39448476144000000 |  12.8859538350
 total:  27 |     306135476264217600 | 100.0000000000
------------+------------------------+----------------
12  0  0  0 |             1916006400 |   0.0000000057
11  1  0  0 |           827714764800 |   0.0000024803
10  2  0  0 |         25038371635200 |   0.0000750296
10  1  1  0 |         54629174476800 |   0.0001637009
 9  3  0  0 |        278204129280000 |   0.0008336619
 9  2  1  0 |       2003069730816000 |   0.0060023654
 9  1  1  1 |        728388993024000 |   0.0021826783
 8  4  0  0 |       1408408404480000 |   0.0042204132
 8  3  1  0 |      15023022981120000 |   0.0450177404
 8  2  2  0 |      12393993959424000 |   0.0371396358
 8  2  1  1 |      27041441366016000 |   0.0810319328
 7  5  0  0 |       3605525515468800 |   0.0108042577
 7  4  1  0 |      54082882732032000 |   0.1620638655
 7  3  2  0 |     132202602233856000 |   0.3961561157
 7  3  1  1 |     144221020618752000 |   0.4321703080
 7  2  2  1 |     237964684020940800 |   0.7130810082
 6  6  0  0 |       2453760420249600 |   0.0073528976
 6  5  1  0 |     100954714433126400 |   0.3025192156
 6  4  2  0 |     347031830863872000 |   1.0399098037
 6  4  1  1 |     378580179124224000 |   1.1344470585
 6  3  3  0 |     257060615454720000 |   0.7703035583
 6  3  2  1 |    1850836431273984000 |   5.5461856195
 6  2  2  2 |     508980018600345600 |   1.5252010454
 5  5  2  0 |     237964684020940800 |   0.7130810082
 5  5  1  1 |     259597837113753600 |   0.7779065544
 5  4  3  0 |     991519516753920000 |   2.9711708676
 5  4  2  1 |    3569470260314112000 |  10.6962151234
 5  3  3  1 |    2644052044677120000 |   7.9231223136
 5  3  2  2 |    4362685873717248000 |  13.0731518175
 4  4  4  0 |     232387386739200000 |   0.6963681721
 4  4  3  1 |    3718198187827200000 |  11.1418907535
 4  4  2  2 |    3067513504957440000 |   9.1920598717
 4  3  3  2 |    9088928903577600000 |  27.2357329530
 3  3  3  3 |    1122089988096000000 |   3.3624361670
 total:  34 |   33371339479827148800 | 100.0000000000
------------+------------------------+----------------
13  0  0  0 |            24908083200 |   0.0000000006
12  1  0  0 |         12628398182400 |   0.0000003194
11  2  0  0 |        454622334566400 |   0.0000114971
11  1  1  0 |        985015058227200 |   0.0000249103
10  3  0  0 |       6112144720281600 |   0.0001545718
10  2  1  0 |      43340662561996800 |   0.0010960547
10  1  1  1 |      15650794814054400 |   0.0003957975
 9  4  0  0 |      38200904501760000 |   0.0009660739
 9  3  1  0 |     397289406818304000 |   0.0100471681
 9  2  2  0 |     325054969214976000 |   0.0082204103
 9  2  1  1 |     704285766632448000 |   0.0178108890
 8  5  0  0 |     123770930585702400 |   0.0031300793
 8  4  1  0 |    1787802330682368000 |   0.0452122566
 8  3  2  0 |    4290725593637683200 |   0.1085094158
 8  3  1  1 |    4648286059774156800 |   0.1175518672
 8  2  2  1 |    7606286279630438400 |   0.1923576008
 7  6  0  0 |     220037209930137600 |   0.0055645854
 7  5  1  0 |    4290725593637683200 |   0.1085094158
 7  4  2  0 |   14302418645458944000 |   0.3616980528
 7  4  1  1 |   15494286865913856000 |   0.3918395572
 7  3  3  0 |   10488440340003225600 |   0.2652452387
 7  3  2  1 |   74372576956386508800 |   1.8808298745
 7  2  2  2 |   20283430079014502400 |   0.5129536021
 6  6  1  0 |    2860483729091788800 |   0.0723396106
 6  5  2  0 |   25744353561826099200 |   0.6510564950
 6  5  1  1 |   27889716358644940800 |   0.7053112029
 6  4  3  0 |   52442201700016128000 |   1.3262261935
 6  4  2  1 |  185931442390966272000 |   4.7020746862
 6  3  3  1 |  136349724420041932800 |   3.4481881032
 6  3  2  2 |  223117730869159526400 |   5.6424896235
 5  5  3  0 |   35398486147510886400 |   0.8952026806
 5  5  2  1 |  125503723613902233600 |   3.1739004132
 5  4  4  0 |   49164564093765120000 |   1.2433370565
 5  4  3  1 |  511311466575157248000 |  12.9307053871
 5  4  2  2 |  418345745379674112000 |  10.5796680440
 5  3  3  2 |  613573759890188697600 |  15.5168464645
 4  4  4  1 |  118359135781286400000 |   2.9932188396
 4  4  3  2 |  852185777625262080000 |  21.5511756452
 4  3  3  3 |  416624157950128128000 |  10.5361303154
 total:  39 | 3954242643911239680000 | 100.0000000000
------------+------------------------+----------------