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A300926 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 15 2018 18:58:10

%S 2,37,508,6638,87561,1155263,15238332,200997959,2651226860,

%T 34970515586,461272055711,6084322990226,80254127231786,

%U 1058577091893891,13962963627904759,184175866611838179,2429337406168105388

%N Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A300930.

%H R. H. Hardin, <a href="/A300926/b300926.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +10*a(n-2) -87*a(n-3) -170*a(n-4) +127*a(n-5) +799*a(n-6) +686*a(n-7) -1452*a(n-8) -2477*a(n-9) +72*a(n-10) +3081*a(n-11) +2340*a(n-12) -1976*a(n-13) -3131*a(n-14) +247*a(n-15) +1710*a(n-16) +847*a(n-17) +207*a(n-18) -84*a(n-19) -182*a(n-20) -46*a(n-21) +45*a(n-22) +32*a(n-23) +2*a(n-24) +a(n-25) -a(n-26) for n>27

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300930.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 15 2018

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)