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A302810 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A302810 #4 Apr 13 2018 13:10:42
%S A302810 8,128,1010,8718,74072,632004,5396562,46048956,393010948,3354229130,
%T A302810 28626729216,244317217799,2085144343545,17795817110568,
%U A302810 151879748363323,1296229146049548,11062765094422311,94416001329770771,805800467376475810
%N A302810 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302810 Row 4 of A302808.
%H A302810 R. H. Hardin, <a href="/A302810/b302810.txt">Table of n, a(n) for n = 1..210</a>
%F A302810 Empirical: a(n) = 5*a(n-1) +44*a(n-2) -54*a(n-3) -583*a(n-4) -134*a(n-5) +3745*a(n-6) +2342*a(n-7) -19086*a(n-8) +5167*a(n-9) +100950*a(n-10) -95590*a(n-11) -330420*a(n-12) +300448*a(n-13) +120445*a(n-14) -580497*a(n-15) +1847741*a(n-16) +1018090*a(n-17) -2871691*a(n-18) +1232729*a(n-19) +625362*a(n-20) -3517102*a(n-21) -369126*a(n-22) -7215641*a(n-23) -3856188*a(n-24) +18527258*a(n-25) +6990579*a(n-26) -24990486*a(n-27) -20336354*a(n-28) +6888853*a(n-29) +27407575*a(n-30) +46764683*a(n-31) +36690912*a(n-32) -29995623*a(n-33) -69788022*a(n-34) -21863393*a(n-35) +29321349*a(n-36) +23774779*a(n-37) +604618*a(n-38) -5816484*a(n-39) -2546547*a(n-40) -146625*a(n-41) +258463*a(n-42) +164010*a(n-43) +39355*a(n-44) -1983*a(n-45) -922*a(n-46) -480*a(n-47) -54*a(n-48) for n>50
%e A302810 Some solutions for n=5
%e A302810 ..0..1..0..0..1. .0..0..0..1..1. .0..0..0..0..1. .0..0..0..1..0
%e A302810 ..0..0..1..1..0. .1..1..0..1..1. .1..1..1..1..0. .0..1..1..1..0
%e A302810 ..1..1..1..0..0. .1..1..0..0..1. .0..0..1..0..0. .0..1..0..1..1
%e A302810 ..1..0..1..0..1. .0..1..0..1..1. .1..1..0..0..1. .0..0..1..1..0
%Y A302810 Cf. A302808.
%K A302810 nonn
%O A302810 1,1
%A A302810 _R. H. Hardin_, Apr 13 2018