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A206729 Number of nX3 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal 1
25, 625, 11804, 219714, 4056056, 74880210, 1384146457, 25593791994, 473358801469, 8755144772158, 161935986695266, 2995183954685356, 55399185737374503, 1024667629941602893, 18952326862612917223 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A206734

LINKS

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

FORMULA

Empirical: a(n) = 25*a(n-1) -31*a(n-2) -2300*a(n-3) +7333*a(n-4) +119633*a(n-5) -459915*a(n-6) -4014328*a(n-7) +15772675*a(n-8) +99297811*a(n-9) -357647844*a(n-10) -1803506799*a(n-11) +5606765946*a(n-12) +24505647498*a(n-13) -64590795499*a(n-14) -236504151672*a(n-15) +550432582357*a(n-16) +1654379777499*a(n-17) -3539757606127*a(n-18) -9008109310315*a(n-19) +17845738284097*a(n-20) +41222516740722*a(n-21) -73318688832695*a(n-22) -166112315587719*a(n-23) +253290961991674*a(n-24) +596421332689059*a(n-25) -751158665678840*a(n-26) -1906690967262966*a(n-27) +1913445801701058*a(n-28) +5434254221867176*a(n-29) -4072863636230635*a(n-30) -13832186590535900*a(n-31) +6820554143216210*a(n-32) +31356617410845466*a(n-33) -7660416954249692*a(n-34) -62671274494474960*a(n-35) +677614717820403*a(n-36) +108640294472619080*a(n-37) +23208051448805311*a(n-38) -160088411196149302*a(n-39) -71379652444567924*a(n-40) +195065708879042418*a(n-41) +139424375085493958*a(n-42) -186325267333900687*a(n-43) -205043409891975982*a(n-44) +119780925942147004*a(n-45) +237658447889036922*a(n-46) -11585594465900200*a(n-47) -219218864893602538*a(n-48) -95763493147721197*a(n-49) +158824508150327197*a(n-50) +160583689929800201*a(n-51) -86484450783368623*a(n-52) -167993874293114542*a(n-53) +29586883997375002*a(n-54) +133488033401369015*a(n-55) +1150018023152971*a(n-56) -86145539809998800*a(n-57) -10383690996282984*a(n-58) +47207079134156348*a(n-59) +9468781958349366*a(n-60) -22618390006547023*a(n-61) -6101681149518043*a(n-62) +9651603685005441*a(n-63) +3206380766634876*a(n-64) -3651884604645852*a(n-65) -1428581222582892*a(n-66) +1185696146904245*a(n-67) +545684871576777*a(n-68) -320403620886921*a(n-69) -179137090737485*a(n-70) +70962023193100*a(n-71) +50948648074609*a(n-72) -12950798482941*a(n-73) -12706669593829*a(n-74) +1906584861517*a(n-75) +2770906024111*a(n-76) -162926847843*a(n-77) -496393425299*a(n-78) -21592390188*a(n-79) +62709496495*a(n-80) +12407557752*a(n-81) -3629762658*a(n-82) -2619703824*a(n-83) -396687509*a(n-84) +280772348*a(n-85) +102282487*a(n-86) -4726023*a(n-87) -7984796*a(n-88) -3182973*a(n-89) -25562*a(n-90) +421239*a(n-91) +45258*a(n-92) -18124*a(n-93) -2516*a(n-94) -180*a(n-95) -40*a(n-96) +12*a(n-97)

EXAMPLE

Some solutions for n=4

..0..0..0....2..0..1....2..0..2....1..2..1....2..1..0....2..0..1....1..2..2

..2..0..2....0..0..2....1..1..1....1..1..1....2..1..2....2..0..2....0..0..2

..2..0..2....1..2..2....1..0..0....1..0..1....2..1..1....2..0..2....1..2..0

..0..0..0....0..0..2....1..2..2....0..1..0....0..1..1....2..0..1....1..2..1

CROSSREFS

Sequence in context: A206858 A068180 A206952 * A207353 A207984 A207196

Adjacent sequences: A206726 A206727 A206728 * A206730 A206731 A206732

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 11 2012

STATUS

approved

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Last modified December 8 01:12 EST 2022. Contains 358672 sequences. (Running on oeis4.)