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 A232909 Number of (1+1) X (n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally. 1

%I

%S 0,10,52,82,432,2372,8456,29970,132972,547554,2102096,8441132,

%T 34612080,138342906,551613860,2224984018,8958729072,35906450644,

%U 144189580120,579895060802,2329383080028,9353592833314,37582177354512,151003083442364

%N Number of (1+1) X (n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally.

%H R. H. Hardin, <a href="/A232909/b232909.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) + 28*a(n-3) + 80*a(n-4) + 48*a(n-5) - 67*a(n-6) - 228*a(n-7) - 224*a(n-8).

%F Empirical g.f.: 2*x^2*(5 + 26*x + 21*x^2 - 28*x^3 - 106*x^4 - 104*x^5) / ((1 + x + 7*x^2)*(1 - x - 10*x^2 - 11*x^3 + x^4 + 28*x^5 + 32*x^6)). - _Colin Barker_, Oct 06 2018

%e Some solutions for n=5:

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

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

%Y Row 1 of A232908.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 02 2013

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Last modified June 12 06:52 EDT 2021. Contains 344943 sequences. (Running on oeis4.)