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A302638 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A302638 #4 Apr 10 2018 19:34:31
%S A302638 16,21,42,101,257,691,1734,4502,11524,30121,77399,200317,516438,
%T A302638 1338344,3454506,8931187,23069491,59659415,154144020,398416450,
%U A302638 1029570334,2661273981,6877566431,17775332669,45938756798,118731629576,306855446658
%N A302638 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302638 Row 5 of A302635.
%H A302638 R. H. Hardin, <a href="/A302638/b302638.txt">Table of n, a(n) for n = 1..210</a>
%F A302638 Empirical: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) +32*a(n-4) -23*a(n-5) -47*a(n-6) -43*a(n-7) -427*a(n-8) +208*a(n-9) +448*a(n-10) +345*a(n-11) +3212*a(n-12) -1010*a(n-13) -2363*a(n-14) -1271*a(n-15) -15417*a(n-16) +2994*a(n-17) +7880*a(n-18) +1333*a(n-19) +50564*a(n-20) -5840*a(n-21) -17997*a(n-22) +7273*a(n-23) -118241*a(n-24) +8112*a(n-25) +30065*a(n-26) -37203*a(n-27) +202588*a(n-28) -9318*a(n-29) -39397*a(n-30) +89218*a(n-31) -258497*a(n-32) +10902*a(n-33) +43343*a(n-34) -137629*a(n-35) +247123*a(n-36) -13254*a(n-37) -41319*a(n-38) +148584*a(n-39) -175807*a(n-40) +13979*a(n-41) +33450*a(n-42) -115878*a(n-43) +90721*a(n-44) -11249*a(n-45) -22157*a(n-46) +65549*a(n-47) -32142*a(n-48) +6528*a(n-49) +11644*a(n-50) -26262*a(n-51) +7028*a(n-52) -2590*a(n-53) -4592*a(n-54) +6998*a(n-55) -752*a(n-56) +632*a(n-57) +1184*a(n-58) -1088*a(n-59) +16*a(n-60) -72*a(n-61) -144*a(n-62) +72*a(n-63) for n>64
%e A302638 Some solutions for n=5
%e A302638 ..0..1..0..1..0. .0..1..0..1..1. .0..1..1..0..1. .0..1..0..1..0
%e A302638 ..0..1..1..1..0. .0..1..1..0..1. .1..0..1..0..1. .0..0..0..1..1
%e A302638 ..1..1..1..1..1. .1..0..1..0..1. .1..0..1..0..1. .0..1..0..1..0
%e A302638 ..0..1..0..1..0. .1..0..1..0..1. .1..0..0..0..1. .0..1..0..1..0
%e A302638 ..0..0..1..1..0. .0..1..1..0..1. .1..0..1..0..1. .0..1..0..0..1
%Y A302638 Cf. A302635.
%K A302638 nonn
%O A302638 1,1
%A A302638 _R. H. Hardin_, Apr 10 2018