A223870 Number of 7Xn 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing

120, 14400, 857696, 30627033, 740441932, 13140481520, 181330154458, 2031375254570, 19103100564953, 154879319818086, 1106319655331310, 7088499061347994, 41355557480132029, 222496813189773094

Offset

1,1

Comments

Row 7 of A223864

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (1/731743016283032599871082788290560000000)*n^42 + (1/4977843648183895237218250260480000000)*n^41 + (928393/46001848566932971411483888975872000000000)*n^40 + (105277/73145796479098389325092394893312000000)*n^39 + (1194875887417/14630003285779052077202999275526553600000000)*n^38 + (2989034162869/770000172935739583010684172396134400000000)*n^37 + (253954581560803/1578153507593520316530906749730816000000000)*n^36 + (5354203220243/901802004339154466589089571274752000000)*n^35 + (294541461227512613/1487973307159604869871997792603340800000000)*n^34 + (3283448634973867/543651190047352893632443475558400000000)*n^33 + (1695440335227801901/9946345636093615440320840859648000000000)*n^32 + (3573106388063476091/795707650887489235225667268771840000000)*n^31 + (199763950144059168991/1796759211681427305348280929484800000000)*n^30 + (74264834838952433551/28519987487006782624575887769600000000)*n^29 + (22508587327587010087/388203096465609563855388672000000000)*n^28 + (6487713317681801287/5268470594890415509465989120000000)*n^27 + (5879724305315631273143/236027482651090614824076312576000000)*n^26 + (2274008762771343921151/4777884264192117708989399040000000)*n^25 + (1433958075984913204598868559/170382339038756037576130088140800000000)*n^24 + (171994077476794008378711763/1298151154580998381532419719168000000)*n^23 + (4807317857591109327659320591/2616826438088178555658237378560000000)*n^22 + (1168312336634046874744823561/53404621185473031748127293440000000)*n^21 + (3267005930489620041151124845704799/14294414418056675360283121680384000000000)*n^20 + (6168875562195824331118939779649/3009350403801405339006972985344000000)*n^19 + (1421349779115626568528007952265121/87772720110874322387703378739200000000)*n^18 + (443650330465794505186411456583/4008618930894881365898035200000000)*n^17 + (231458296026946241960005215879167/345743382789683517808705536000000000)*n^16 + (2781803526486270651769956719311/790270589233562326419898368000000)*n^15 + (180518342530030480992731139435779501/11029213910990904218097706598400000000)*n^14 + (112422850223626902402310801373206057/1696802140152446802784262553600000000)*n^13 + (256455030218680186741984545055085811457/1087881553947739188785091969024000000000)*n^12 + (10923760852985777320434335065266037/15015618411977076449759723520000000)*n^11 + (88612710087482886643695234551735533/45442003088877994519009689600000000)*n^10 + (5132272050632981323250919168852481/1142060924191378169128550400000000)*n^9 + (176762144080638309567478939777189963/19986066173349117959749632000000000)*n^8 + (12877453273843085031374115529301/876581849708294647357440000000)*n^7 + (93032030615999750514907250146925549/4583262987565425332123834880000000)*n^6 + (60616255337563316970152218520251/2645462041884805386507264000000)*n^5 + (94214291470099334061118441477637/4572870100972306453819699200000)*n^4 + (66435080638421714121718489/4652899980639302456064000)*n^3 + (385110153135599654276494759/50995582363565168801472000)*n^2 + (169896669668551379/73020063246530400)*n + 1

Example

Some solutions for n=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..0..0....0..0..0....0..0..2....0..0..0....0..2..0....0..0..0
..0..0..1....0..0..1....0..0..3....1..2..3....2..0..0....0..2..1....0..0..1
..1..1..2....0..0..2....0..1..3....1..3..3....2..0..0....1..2..1....2..3..1
..2..2..2....0..2..3....0..1..3....1..3..3....3..1..0....3..2..2....3..3..1
..3..2..2....1..2..3....1..1..3....1..3..3....3..1..0....3..2..2....3..3..1
..3..3..2....2..3..3....1..3..3....3..3..3....3..3..2....3..2..2....3..3..3

Crossrefs

Sequence in context: A296913 A059063 A224178 * A224390 A223992 A224023

Adjacent sequences: A223867 A223868 A223869 * A223871 A223872 A223873

Keyword

nonn

Author

R. H. Hardin Mar 28 2013

Status

approved