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A316118 Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 Jun 24 2018 16:32:40

%S 1,7,13,23,47,144,391,1118,3330,10129,30953,95037,293116,905585,

%T 2799778,8662028,26809369,82990751,256933941,795508636,2463117879,

%U 7626665518,23615103348,73122045417,226416803035,701083972797,2170861196560

%N Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316123.

%H R. H. Hardin, <a href="/A316118/b316118.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -7*a(n-3) -10*a(n-4) +7*a(n-5) +24*a(n-6) +20*a(n-7) -38*a(n-8) -69*a(n-9) +22*a(n-10) +115*a(n-11) +43*a(n-12) -92*a(n-13) -56*a(n-14) +18*a(n-15) +16*a(n-16) +4*a(n-17) for n>19

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316123.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jun 24 2018

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Last modified July 14 19:09 EDT 2024. Contains 374323 sequences. (Running on oeis4.)