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A302383 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A302383 #4 Apr 06 2018 12:43:49
%S A302383 0,34,475,4640,56541,688999,8334338,100913905,1222239033,14803542454,
%T A302383 179291982859,2171499466232,26300156362525,318534929264743,
%U A302383 3857942140993326,46725546245979040,565917413571325189
%N A302383 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302383 Row 4 of A302381.
%H A302383 R. H. Hardin, <a href="/A302383/b302383.txt">Table of n, a(n) for n = 1..210</a>
%F A302383 Empirical: a(n) = 7*a(n-1) +54*a(n-2) +84*a(n-3) +189*a(n-4) -346*a(n-5) -2353*a(n-6) -2331*a(n-7) -6761*a(n-8) -16996*a(n-9) -27532*a(n-10) -27887*a(n-11) -32208*a(n-12) -69423*a(n-13) +95849*a(n-14) -78017*a(n-15) +96046*a(n-16) +178129*a(n-17) -220388*a(n-18) +739594*a(n-19) -344706*a(n-20) +304213*a(n-21) +725099*a(n-22) -969680*a(n-23) +586777*a(n-24) -644301*a(n-25) -302444*a(n-26) +761784*a(n-27) -159825*a(n-28) +115661*a(n-29) -48119*a(n-30) -118870*a(n-31) +70352*a(n-32) +21347*a(n-33) -3527*a(n-34) +9495*a(n-35) +1159*a(n-36) -4509*a(n-37) +1182*a(n-38) +139*a(n-39) -373*a(n-40) -43*a(n-41) +24*a(n-42) for n>43
%e A302383 Some solutions for n=5
%e A302383 ..0..1..0..1..0. .0..1..1..1..1. .0..0..1..1..1. .0..0..0..1..1
%e A302383 ..0..0..1..0..1. .0..0..0..0..0. .1..0..0..0..1. .1..1..1..0..1
%e A302383 ..0..1..1..0..0. .1..1..0..0..1. .1..1..0..1..1. .1..0..1..0..1
%e A302383 ..1..0..1..1..1. .0..0..1..1..0. .1..0..0..1..1. .0..0..1..1..0
%Y A302383 Cf. A302381.
%K A302383 nonn
%O A302383 1,2
%A A302383 _R. H. Hardin_, Apr 06 2018