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A305229 Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 May 27 2018 17:44:54

%S 64,719,509,1248,5958,26528,135183,656194,3279365,16250652,81031953,

%T 403509236,2011945563,10030039280,50016127121,249410319660,

%U 1243788731837,6202713557772,30933122777137,154265006485596,769330468164179

%N Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A305230.

%H R. H. Hardin, <a href="/A305229/b305229.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -8*a(n-2) -58*a(n-3) +109*a(n-4) +53*a(n-5) -164*a(n-6) +350*a(n-7) -839*a(n-8) -337*a(n-9) +2217*a(n-10) -1688*a(n-11) +1782*a(n-12) -123*a(n-13) -7364*a(n-14) +8415*a(n-15) -422*a(n-16) -4654*a(n-17) +8939*a(n-18) -8494*a(n-19) -1367*a(n-20) +5630*a(n-21) -3708*a(n-22) +2283*a(n-23) +562*a(n-24) -1497*a(n-25) +288*a(n-26) +112*a(n-27) -24*a(n-28) for n>35

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305230.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 27 2018

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Last modified July 17 05:50 EDT 2024. Contains 374360 sequences. (Running on oeis4.)