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 A268995 T(n,k)=Number of nXk binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. 14
 2, 4, 4, 7, 13, 8, 13, 35, 41, 16, 23, 103, 174, 126, 32, 41, 278, 805, 849, 379, 64, 72, 763, 3331, 6009, 4083, 1121, 128, 126, 2037, 14080, 37987, 43512, 19416, 3272, 256, 219, 5421, 57287, 244397, 421450, 308112, 91491, 9449, 512, 379, 14264, 232449, 1506570 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....4.......7........13..........23............41..............72 ....4....13......35.......103.........278...........763............2037 ....8....41.....174.......805........3331.........14080...........57287 ...16...126.....849......6009.......37987........244397.........1506570 ...32...379....4083.....43512......421450.......4097199........38241770 ...64..1121...19416....308112.....4583103......66954420.......946498448 ..128..3272...91491...2144780....49084071....1073436321.....22995344760 ..256..9449..427863..14730784...519385102...16957258387....550731432312 ..512.27049.1988142.100087792..5442503771..264744926212..13040291111728 .1024.76866.9187653.674045392.56571775611.4093941136805.305911647779632 LINKS R. H. Hardin, Table of n, a(n) for n = 1..799 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 6*a(n-1) -11*a(n-2) +6*a(n-3) -a(n-4) k=3: a(n) = 10*a(n-1) -31*a(n-2) +30*a(n-3) -9*a(n-4) k=4: a(n) = 16*a(n-1) -88*a(n-2) +200*a(n-3) -208*a(n-4) +96*a(n-5) -16*a(n-6) for n>7 k=5: [order 8] for n>9 k=6: [order 10] for n>12 k=7: [order 14] for n>16 Empirical for row n: n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) n=2: a(n) = 2*a(n-1) +5*a(n-2) -4*a(n-3) -11*a(n-4) -6*a(n-5) -a(n-6) n=3: [order 9] n=4: [order 16] n=5: [order 26] n=6: [order 42] n=7: [order 68] EXAMPLE Some solutions for n=4 k=4 ..1..1..0..1. .1..0..0..1. .0..0..0..0. .0..0..1..0. .0..0..0..1 ..0..0..0..1. .1..1..0..1. .0..1..0..0. .1..0..1..0. .0..0..0..1 ..0..1..0..1. .0..0..0..0. .0..1..0..1. .1..0..0..0. .0..0..1..0 ..0..0..0..0. .1..0..1..0. .0..0..0..0. .1..0..1..0. .1..0..1..0 CROSSREFS Column 1 is A000079. Row 1 is A208354(n+1). Sequence in context: A224409 A226870 A227751 * A205744 A237859 A240338 Adjacent sequences:  A268992 A268993 A268994 * A268996 A268997 A268998 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 17 2016 STATUS approved

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Last modified July 22 07:23 EDT 2019. Contains 325216 sequences. (Running on oeis4.)