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A299341
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Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
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1
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8, 88, 357, 1618, 7667, 36182, 170056, 800122, 3767186, 17734561, 83479159, 392987920, 1850012870, 8708867437, 40997169371, 192995291801, 908527255643, 4276905653092, 20133609473244, 94779278302086, 446174932260786
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OFFSET
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1,1
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COMMENTS
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Column 4 of A299345.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 10*a(n-1) -37*a(n-2) +96*a(n-3) -295*a(n-4) +673*a(n-5) -909*a(n-6) +1187*a(n-7) -949*a(n-8) -2177*a(n-9) +7749*a(n-10) -19356*a(n-11) +37168*a(n-12) -52068*a(n-13) +81815*a(n-14) -105819*a(n-15) +100885*a(n-16) -113986*a(n-17) +36721*a(n-18) +143450*a(n-19) -348218*a(n-20) +1056872*a(n-21) -2401918*a(n-22) +3956877*a(n-23) -6499038*a(n-24) +10131338*a(n-25) -13384092*a(n-26) +16476162*a(n-27) -17931324*a(n-28) +15391473*a(n-29) -11736738*a(n-30) +6257415*a(n-31) +4049797*a(n-32) -12652306*a(n-33) +16700015*a(n-34) -19026560*a(n-35) +16431539*a(n-36) -12248053*a(n-37) +10852209*a(n-38) -4791298*a(n-39) -1973130*a(n-40) +1171493*a(n-41) +735865*a(n-42) -1014863*a(n-43) +1063563*a(n-44) -549240*a(n-45) +457362*a(n-46) -1087285*a(n-47) +1097896*a(n-48) -330087*a(n-49) -27646*a(n-50) +134740*a(n-51) -111077*a(n-52) +60920*a(n-53) -24680*a(n-54) +19204*a(n-55) -15442*a(n-56) -8466*a(n-57) -632*a(n-58) +2822*a(n-59) +198*a(n-60) -240*a(n-61) +608*a(n-62) -352*a(n-63) +160*a(n-64) for n>65
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EXAMPLE
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Some solutions for n=7
..0..0..1..0. .0..0..0..0. .0..0..1..0. .0..0..1..0. .0..0..1..0
..0..1..1..1. .1..1..1..1. .0..1..1..1. .0..1..1..1. .0..1..1..1
..0..1..0..1. .0..0..0..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
..0..0..0..1. .1..1..1..1. .1..0..0..1. .0..0..0..0. .0..1..0..0
..1..1..0..1. .0..0..0..0. .0..1..0..1. .0..1..1..1. .0..1..1..1
..1..1..0..1. .0..0..0..0. .0..1..1..1. .1..0..1..0. .1..0..0..0
..1..1..0..1. .0..0..0..0. .1..0..0..1. .0..1..0..1. .0..1..1..1
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CROSSREFS
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Cf. A299345.
Sequence in context: A250276 A298191 A299085 * A299848 A299004 A299671
Adjacent sequences: A299338 A299339 A299340 * A299342 A299343 A299344
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Feb 07 2018
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STATUS
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approved
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