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A303527 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303527 #4 Apr 25 2018 12:42:32
%S A303527 8,10,39,103,359,1875,8676,36072,166784,848681,4105851,19152575,
%T A303527 92409752,457395652,2221962919,10661835678,51739845297,253006224877,
%U A303527 1229143772638,5947176017011,28886071524170,140636912306075,683180817411487
%N A303527 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303527 Row 4 of A303525.
%H A303527 R. H. Hardin, <a href="/A303527/b303527.txt">Table of n, a(n) for n = 1..210</a>
%F A303527 Empirical: a(n) = 3*a(n-1) +9*a(n-2) -3*a(n-3) +227*a(n-4) -651*a(n-5) -2397*a(n-6) +2477*a(n-7) -10125*a(n-8) +32889*a(n-9) +140430*a(n-10) -139247*a(n-11) +147713*a(n-12) -696247*a(n-13) -3322631*a(n-14) +2870371*a(n-15) -589928*a(n-16) +7378532*a(n-17) +37036533*a(n-18) -28171654*a(n-19) -4215822*a(n-20) -41705374*a(n-21) -201340805*a(n-22) +134959574*a(n-23) +48213202*a(n-24) +117390757*a(n-25) +527791613*a(n-26) -296182026*a(n-27) -143995072*a(n-28) -140279497*a(n-29) -728134284*a(n-30) +310394548*a(n-31) +146571481*a(n-32) +55671622*a(n-33) +702549436*a(n-34) -287100410*a(n-35) -94828128*a(n-36) +214598536*a(n-37) -403974010*a(n-38) -39173927*a(n-39) +37241894*a(n-40) +22203820*a(n-41) +40387406*a(n-42) -42016893*a(n-43) +45319265*a(n-44) -9357240*a(n-45) -14553359*a(n-46) +15173448*a(n-47) -2991486*a(n-48) -1107750*a(n-49) +1176217*a(n-50) -526881*a(n-51) +173233*a(n-52) -21811*a(n-53) -19352*a(n-54) +9547*a(n-55) -1989*a(n-56) +87*a(n-57) +18*a(n-58) for n>60
%e A303527 Some solutions for n=5
%e A303527 ..0..1..1..0..1. .0..1..0..1..0. .0..0..1..1..0. .0..1..0..0..1
%e A303527 ..1..0..1..0..0. .0..1..0..1..0. .0..1..0..1..0. .1..1..0..1..0
%e A303527 ..1..0..1..0..1. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0
%e A303527 ..1..0..1..1..1. .0..1..1..0..0. .1..0..0..1..0. .0..1..0..1..0
%Y A303527 Cf. A303525.
%K A303527 nonn
%O A303527 1,1
%A A303527 _R. H. Hardin_, Apr 25 2018