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 A296582 Number of n X 2 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 3 neighboring 1s. 1
 3, 9, 22, 62, 172, 480, 1358, 3849, 10951, 31232, 89193, 254996, 729509, 2087983, 5978057, 17119192, 49030629, 140440575, 402295454, 1152434018, 3301409215, 9457817513, 27094931531, 77622729861, 222378228416, 637084878266 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 3*a(n-1) + a(n-2) - a(n-3) - 8*a(n-4) - 3*a(n-6) - 2*a(n-7) - 5*a(n-8) + a(n-9). Empirical g.f.: x*(3 - 8*x^2 - 10*x^3 - 3*x^4 - 4*x^5 - 7*x^6 - 4*x^7 + x^8) / (1 - 3*x - x^2 + x^3 + 8*x^4 + 3*x^6 + 2*x^7 + 5*x^8 - x^9). - Colin Barker, Feb 23 2019 EXAMPLE Some solutions for n=7: ..0..1. .1..0. .0..0. .1..0. .0..1. .1..0. .1..0. .1..1. .1..0. .1..1 ..0..0. .0..1. .0..0. .0..1. .1..1. .0..0. .0..0. .1..0. .0..1. .1..0 ..0..1. .0..0. .0..1. .1..1. .0..1. .0..0. .1..0. .1..1. .1..1. .0..0 ..0..0. .0..0. .0..0. .0..0. .1..1. .0..1. .0..0. .1..0. .1..0. .0..1 ..0..0. .0..0. .0..0. .1..0. .1..0. .0..0. .0..0. .0..0. .0..1. .0..0 ..0..0. .0..0. .0..0. .0..0. .1..1. .0..1. .0..0. .0..0. .0..0. .1..0 ..0..0. .1..0. .0..1. .0..1. .1..0. .1..1. .1..0. .1..0. .0..0. .0..1 CROSSREFS Column 2 of A296588. Sequence in context: A114697 A032284 A329163 * A203454 A197666 A146009 Adjacent sequences: A296579 A296580 A296581 * A296583 A296584 A296585 KEYWORD nonn AUTHOR R. H. Hardin, Dec 16 2017 STATUS approved

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Last modified December 8 16:32 EST 2023. Contains 367680 sequences. (Running on oeis4.)