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 A305771 Number of n X 3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 1

%I #6 May 26 2024 01:05:58

%S 4,23,81,292,1096,4172,15953,61111,234288,898583,3447045,13224257,

%T 50735544,194653051,746816146,2865285427,10993168588,42177249636,

%U 161820597240,620853918472,2382018289657,9139044147504,35063597098216

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

%C Column 3 of A305776.

%H R. H. Hardin, <a href="/A305771/b305771.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +a(n-2) -a(n-3) -20*a(n-4) -8*a(n-5) +26*a(n-6) +14*a(n-7) -12*a(n-8) +11*a(n-9) +23*a(n-10) -8*a(n-11) -24*a(n-12) -10*a(n-13) +7*a(n-14) -10*a(n-15) -8*a(n-16).

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305776.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 10 2018

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Last modified August 14 09:40 EDT 2024. Contains 375159 sequences. (Running on oeis4.)