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A232592 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 or antidiagonally, with no adjacent elements equal 1

%I #4 Nov 26 2013 18:08:30

%S 4,124,42,996,606,8104,7568,66744,82132,556612,836046,4691760,8187072,

%T 39925804,78178630,342580066,733698936,2960354254,6801151306,

%U 25734466516,62477896160,224824244852,570101087316,1972190659984,5175766221764

%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 or antidiagonally, with no adjacent elements equal

%C Row 3 of A232589

%H R. H. Hardin, <a href="/A232592/b232592.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-2) +8*a(n-3) -16*a(n-4) -56*a(n-5) -27*a(n-6) +64*a(n-7) +154*a(n-8) +50*a(n-9) -123*a(n-10) -248*a(n-11) -60*a(n-12) +168*a(n-13) +246*a(n-14) +40*a(n-15) -138*a(n-16) -128*a(n-17) -27*a(n-18) +40*a(n-19) +30*a(n-20) +14*a(n-21) +a(n-22) -a(n-24) for n>26

%e Some solutions for n=7

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2013

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Last modified April 22 06:39 EDT 2024. Contains 371888 sequences. (Running on oeis4.)