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 A281832 Number of n X 3 0..1 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. 1
 4, 31, 163, 926, 5315, 30387, 174121, 998069, 5720443, 32788987, 187945010, 1077290419, 6174981492, 35394734997, 202881130985, 1162906171769, 6665729691190, 38207684670140, 219004855904382, 1255326705617567 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 5*a(n-1) + 4*a(n-2) + 6*a(n-3) - 23*a(n-4) - 25*a(n-5) - 15*a(n-6) - 28*a(n-7) for n>8. Empirical g.f.: x*(4 + 11*x - 8*x^2 - 37*x^3 - 61*x^4 - 57*x^5 - 46*x^6 - 24*x^7) / (1 - 5*x - 4*x^2 - 6*x^3 + 23*x^4 + 25*x^5 + 15*x^6 + 28*x^7). - Colin Barker, Feb 20 2019 EXAMPLE Some solutions for n=4: ..0..1..1. .0..0..0. .0..1..0. .0..0..1. .0..0..0. .0..1..0. .0..1..0 ..1..0..1. .1..0..1. .1..1..0. .1..1..0. .0..1..1. .1..1..0. .0..1..1 ..0..1..0. .0..1..1. .0..1..1. .0..0..1. .0..1..0. .0..0..1. .0..1..0 ..0..0..0. .0..1..0. .0..1..0. .1..1..1. .1..0..0. .1..1..0. .1..1..0 CROSSREFS Column 3 of A281837. Sequence in context: A263762 A263763 A179562 * A299076 A270670 A270669 Adjacent sequences: A281829 A281830 A281831 * A281833 A281834 A281835 KEYWORD nonn AUTHOR R. H. Hardin, Jan 31 2017 STATUS approved

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Last modified May 30 02:25 EDT 2023. Contains 363044 sequences. (Running on oeis4.)