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A303098 Number of n X 4 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303098 #6 Dec 27 2023 12:30:51
%S A303098 2,46,431,4667,49534,523578,5550469,58797885,622939052,6599795867,
%T A303098 69921718286,740789814624,7848336732510,83149623160674,
%U A303098 880933142617394,9333093335046307,98879957242770978,1047589002709557389
%N A303098 Number of n X 4 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303098 Column 4 of A303102.
%H A303098 R. H. Hardin, <a href="/A303098/b303098.txt">Table of n, a(n) for n = 1..210</a>
%F A303098 Empirical: a(n) = 9*a(n-1) +26*a(n-2) -57*a(n-3) -433*a(n-4) -47*a(n-5) +1932*a(n-6) +2731*a(n-7) -3490*a(n-8) -6960*a(n-9) +156*a(n-10) +748*a(n-11) +3388*a(n-12) +5000*a(n-13) +12879*a(n-14) +2488*a(n-15) -9412*a(n-16) -11225*a(n-17) -870*a(n-18) -5309*a(n-19) +3368*a(n-20) -2123*a(n-21) +1230*a(n-22) -349*a(n-23) +121*a(n-24) +28*a(n-25) -26*a(n-26).
%e A303098 Some solutions for n=5
%e A303098 ..0..0..1..0. .0..1..1..1. .0..0..1..1. .0..1..1..1. .0..0..0..0
%e A303098 ..0..1..0..0. .1..0..0..1. .1..1..0..0. .0..0..1..0. .0..1..0..0
%e A303098 ..1..0..1..1. .1..1..0..0. .1..0..0..1. .1..1..0..1. .1..1..0..0
%e A303098 ..1..1..0..1. .0..0..0..1. .1..0..1..0. .1..0..0..1. .0..1..1..0
%e A303098 ..1..1..0..0. .1..1..1..1. .1..1..1..1. .1..1..1..0. .1..0..1..1
%Y A303098 Cf. A303102.
%K A303098 nonn
%O A303098 1,1
%A A303098 _R. H. Hardin_, Apr 18 2018