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A303322
Number of nX5 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1
1, 32, 4, 12, 64, 62, 204, 744, 900, 2996, 9564, 14880, 45124, 129796, 240124, 683372, 1837592, 3790988, 10329636, 26707488, 59005404, 155944784, 394374956, 909596688, 2353555396, 5880643036, 13932609908, 35527598224, 88215135628
OFFSET
1,2
COMMENTS
Column 5 of A303325.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +2*a(n-2) +20*a(n-3) -44*a(n-4) -36*a(n-5) -124*a(n-6) +282*a(n-7) +212*a(n-8) +259*a(n-9) -333*a(n-10) -510*a(n-11) -408*a(n-12) -836*a(n-13) +476*a(n-14) +727*a(n-15) -2239*a(n-16) +1520*a(n-17) +5253*a(n-18) -1133*a(n-19) -2582*a(n-20) +3952*a(n-21) +2247*a(n-22) -5936*a(n-23) -2324*a(n-24) +2534*a(n-25) -1666*a(n-26) -1578*a(n-27) +920*a(n-28) +256*a(n-29) -96*a(n-30) +64*a(n-31) +32*a(n-32) +32*a(n-33) for n>35
EXAMPLE
Some solutions for n=5
..0..1..0..0..0. .0..0..0..0..0. .0..0..1..0..0. .0..1..1..1..0
..1..1..1..0..1. .1..0..1..0..1. .1..0..0..0..1. .0..1..1..1..0
..1..0..1..0..1. .1..0..1..0..1. .1..0..1..0..1. .0..1..0..1..0
..1..1..1..0..1. .1..0..1..0..1. .1..0..0..0..1. .0..1..1..1..0
..1..1..1..0..1. .0..0..0..0..0. .1..0..0..0..1. .0..1..1..1..0
CROSSREFS
Cf. A303325.
Sequence in context: A070631 A070623 A249597 * A126654 A058382 A070617
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 21 2018
STATUS
approved