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A301440 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 16,512,12576,327848,8525992,221935656,5777358820,150397035552,

%T 3915165237488,101920395598948,2653213102871732,69069000434325364,

%U 1798018721029102548,46806400872419214156,1218474055427109638404

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A301443.

%H R. H. Hardin, <a href="/A301440/b301440.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) -154*a(n-2) -80*a(n-3) +1165*a(n-4) +164*a(n-5) -4691*a(n-6) +1777*a(n-7) +4826*a(n-8) -29796*a(n-9) -19721*a(n-10) +165136*a(n-11) +256552*a(n-12) -305068*a(n-13) -863040*a(n-14) -437400*a(n-15) +1576148*a(n-16) +1925233*a(n-17) +280381*a(n-18) -2666734*a(n-19) -3004951*a(n-20) -1005615*a(n-21) +1948324*a(n-22) +2329915*a(n-23) +1211417*a(n-24) -533598*a(n-25) -579740*a(n-26) -470117*a(n-27) +110187*a(n-28) +102915*a(n-29) +7830*a(n-30) -1296*a(n-31)

%e Some solutions for n=5

%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0

%e ..0..0..1..1..1. .0..0..1..0..1. .0..0..1..1..1. .0..0..1..0..0

%e ..1..0..1..1..1. .0..1..0..0..1. .1..1..0..1..0. .0..1..0..1..0

%e ..1..1..0..0..0. .0..0..0..1..0. .0..1..1..0..1. .1..1..0..0..1

%e ..1..0..0..1..0. .1..1..1..0..0. .0..1..1..0..1. .0..0..0..0..0

%Y Cf. A301443.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2018

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Last modified February 1 18:07 EST 2023. Contains 359995 sequences. (Running on oeis4.)