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 A232518 Number of (3+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal 1

%I #6 Nov 23 2014 17:10:26

%S 8,200,128,2516,1730,32084,24388,408486,338230,5204242,4662970,

%T 66327440,63885378,845656538,870767072,10785923316,11815519304,

%U 137619885396,159699421970,1756562816428,2151083831244,22428629238030,28885857815230

%N Number of (3+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal

%C Row 3 of A232515

%H R. H. Hardin, <a href="/A232518/b232518.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-2) +a(n-3) +11*a(n-4) +a(n-5) -30*a(n-6) -22*a(n-7) +8*a(n-8) +8*a(n-9).

%F Empirical: G.f.: ( -8-200*x-32*x^2-108*x^3+94*x^4+444*x^5+256*x^6-120*x^7-120*x^8 ) / ( -1+12*x^2+x^3+11*x^4+x^5-30*x^6-22*x^7+8*x^8+8*x^9 ). - _R. J. Mathar_, Nov 23 2014

%e Some solutions for n=7

%e ..1..0..1..2..1..2..1..0....1..2..1..2..1..0..1..2....1..2..1..0..1..0..1..2

%e ..1..2..1..0..1..0..1..2....1..0..1..2..1..2..1..2....1..0..1..2..1..2..1..0

%e ..1..2..1..0..1..2..1..0....1..0..1..0..1..2..1..0....1..0..1..0..1..0..1..2

%e ..1..0..1..0..1..0..1..2....1..2..1..0..1..2..1..0....1..2..1..2..1..2..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2013

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Last modified September 9 03:44 EDT 2024. Contains 375759 sequences. (Running on oeis4.)