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A303193 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A303193 #4 Apr 19 2018 13:33:59
%S A303193 5,17,23,46,185,497,1357,4207,12167,34473,102325,299504,863917,
%T A303193 2529911,7401255,21512919,62790998,183429084,534568781,1559375192,
%U A303193 4551720900,13275818353,38726475676,113002176247,329660705673,961703508351
%N A303193 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A303193 Column 4 of A303197.
%H A303193 R. H. Hardin, <a href="/A303193/b303193.txt">Table of n, a(n) for n = 1..210</a>
%F A303193 Empirical: a(n) = 2*a(n-1) +2*a(n-2) +12*a(n-3) -16*a(n-4) -31*a(n-5) -40*a(n-6) +26*a(n-7) +53*a(n-8) +50*a(n-9) +35*a(n-10) +7*a(n-11) +a(n-12) -66*a(n-13) +111*a(n-14) +160*a(n-15) -144*a(n-16) -293*a(n-17) -37*a(n-18) +236*a(n-19) -90*a(n-20) -395*a(n-21) -6*a(n-22) +127*a(n-23) -242*a(n-24) -440*a(n-25) -17*a(n-26) +448*a(n-27) +310*a(n-28) +44*a(n-29) +97*a(n-30) +113*a(n-31) -8*a(n-32) -125*a(n-33) -100*a(n-34) -26*a(n-35) -a(n-36) +15*a(n-37) +10*a(n-38) +9*a(n-39) -a(n-41) -a(n-42) for n>43
%e A303193 Some solutions for n=5
%e A303193 ..0..1..0..1. .0..1..0..1. .0..1..1..0. .0..1..0..1. .0..1..0..1
%e A303193 ..0..1..0..1. .0..1..0..1. .0..1..0..1. .0..0..0..1. .0..1..1..1
%e A303193 ..0..0..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
%e A303193 ..0..1..1..1. .0..1..1..1. .0..1..1..1. .0..1..1..1. .0..1..0..1
%e A303193 ..0..1..0..1. .0..1..0..0. .0..0..0..1. .0..0..0..1. .0..0..1..1
%Y A303193 Cf. A303197.
%K A303193 nonn
%O A303193 1,1
%A A303193 _R. H. Hardin_, Apr 19 2018