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 A302528 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 12
 0, 1, 0, 1, 3, 0, 2, 7, 10, 0, 3, 10, 28, 23, 0, 5, 27, 42, 115, 61, 0, 8, 45, 100, 168, 497, 162, 0, 13, 98, 290, 539, 902, 2086, 421, 0, 21, 193, 730, 1977, 3683, 3256, 9091, 1103, 0, 34, 379, 1700, 5942, 23909, 17546, 15852, 40575, 2890, 0, 55, 778, 4246, 16733, 128242 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0....1......1......2.......3.........5..........8..........13...........21 .0....3......7.....10......27........45.........98.........193..........379 .0...10.....28.....42.....100.......290........730........1700.........4246 .0...23....115....168.....539......1977.......5942.......16733........49219 .0...61....497....902....3683.....23909.....128242......465323......1918153 .0..162...2086...3256...17546....182773....1275348.....5557469.....29725028 .0..421...9091..15852...92603...1551340...16130212....82774516....506265517 .0.1103..40575..77904..615351..18089458..303355178..1916999716..16636194027 .0.2890.172996.314276.3268978.155010391.3654880956.27228654766.305442540368 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3) -a(n-4) k=3: [order 18] k=4: [order 72] Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) n=2: a(n) = a(n-1) +3*a(n-2) -4*a(n-4) for n>5 n=3: [order 15] for n>17 n=4: [order 68] for n>69 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..0. .0..1..0..0. .0..0..1..1. .0..1..1..1. .0..0..1..1 ..1..1..0..0. .1..0..1..1. .1..1..0..0. .1..0..0..0. .1..0..0..1 ..1..0..1..0. .0..1..0..1. .1..0..1..0. .1..1..1..1. .1..1..1..1 ..0..0..1..1. .1..1..1..0. .1..0..0..1. .1..1..1..1. .0..0..1..1 ..1..1..0..0. .0..0..0..1. .0..1..1..0. .1..0..0..1. .1..1..0..0 CROSSREFS Column 2 is A185828. Row 1 is A000045(n-1). Row 2 is A302279. Sequence in context: A223139 A302278 A302728 * A303410 A126671 A209437 Adjacent sequences:  A302525 A302526 A302527 * A302529 A302530 A302531 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 09 2018 STATUS approved

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Last modified December 18 16:34 EST 2018. Contains 318229 sequences. (Running on oeis4.)