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Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 19 2018 13:23:21

%S 16,78,170,931,5613,29124,148501,786247,4126586,21601861,113317332,

%T 594289830,3116171553,16342689476,85704866753,449451760127,

%U 2357050778580,12360978761259,64824023276542,339953816665074,1782805115741299

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A303182.

%H R. H. Hardin, <a href="/A303179/b303179.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +10*a(n-2) +54*a(n-3) -14*a(n-4) -261*a(n-5) -799*a(n-6) -32*a(n-7) +1566*a(n-8) +2578*a(n-9) +1937*a(n-10) -6285*a(n-11) -5064*a(n-12) -11531*a(n-13) +32364*a(n-14) +20183*a(n-15) -7684*a(n-16) +89588*a(n-17) -85553*a(n-18) -144602*a(n-19) -152968*a(n-20) -197294*a(n-21) +231656*a(n-22) +260312*a(n-23) +220338*a(n-24) +264329*a(n-25) -271416*a(n-26) +300379*a(n-27) +471661*a(n-28) -1480872*a(n-29) +908687*a(n-30) -94457*a(n-31) -3019850*a(n-32) +3531553*a(n-33) -1752828*a(n-34) -190800*a(n-35) +5291551*a(n-36) -5680126*a(n-37) +2912672*a(n-38) -1181395*a(n-39) -2428538*a(n-40) +5620932*a(n-41) -7563642*a(n-42) +5187728*a(n-43) +521361*a(n-44) -7420367*a(n-45) +8338437*a(n-46) -2858058*a(n-47) -1688839*a(n-48) +4904263*a(n-49) -3257679*a(n-50) +169275*a(n-51) +1125492*a(n-52) -1097906*a(n-53) +367016*a(n-54) -186916*a(n-55) -197905*a(n-56) +209342*a(n-57) -6710*a(n-58) -7288*a(n-59) -786*a(n-60) +17780*a(n-61) +4828*a(n-62) -8352*a(n-63) -1920*a(n-64) +768*a(n-65) +96*a(n-66) for n>73

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303182.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 19 2018

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Last modified September 19 23:07 EDT 2024. Contains 376015 sequences. (Running on oeis4.)