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A299716 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 Feb 17 2018 10:38:08

%S 1,13,46,246,1205,6354,33804,182056,988181,5383273,29402184,160807858,

%T 880215678,4820339682,26404860216,144663504555,792635765966,

%U 4343214217393,23799184544981,130412897747638,714633600281963

%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299721.

%H R. H. Hardin, <a href="/A299716/b299716.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +11*a(n-2) -30*a(n-3) -94*a(n-4) +6*a(n-5) +166*a(n-6) +73*a(n-7) -28*a(n-8) +30*a(n-9) -24*a(n-10) -50*a(n-11) -6*a(n-12) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299721.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 17 2018

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)