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 A269075 T(n,k)=Number of nXk binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once. 13
 2, 4, 4, 7, 11, 8, 13, 27, 32, 16, 23, 76, 123, 89, 32, 41, 185, 521, 537, 244, 64, 72, 489, 1887, 3288, 2343, 659, 128, 126, 1204, 7477, 17713, 20400, 10167, 1760, 256, 219, 3059, 27042, 102545, 165607, 123976, 43959, 4657, 512, 379, 7539, 102070, 542112 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....4.......7........13..........23...........41.............72 ....4....11......27........76.........185..........489...........1204 ....8....32.....123.......521........1887.........7477..........27042 ...16....89.....537......3288.......17713.......102545.........542112 ...32...244....2343.....20400......165607......1383105.......10778640 ...64...659...10167....123976.....1529241.....18220241......210476400 ..128..1760...43959....742688....14011359....236272677.....4064720816 ..256..4657..189465...4397376...127528641...3024972401....77785162880 ..512.12228..814359..25791040..1154377943..38333973609..1477636398784 .1024.31899.3491691.150081504.10400164377.481701017577.27897108860960 LINKS R. H. Hardin, Table of n, a(n) for n = 1..721 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) -a(n-4) k=3: a(n) = 10*a(n-1) -31*a(n-2) +24*a(n-3) +21*a(n-4) -18*a(n-5) -9*a(n-6) k=4: a(n) = 12*a(n-1) -40*a(n-2) +8*a(n-3) +92*a(n-4) -32*a(n-5) -64*a(n-6) for n>7 k=5: [order 12] k=6: [order 14] k=7: [order 24] for n>25 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) -6*a(n-3) -9*a(n-4) n=3: a(n) = 4*a(n-1) +8*a(n-2) -34*a(n-3) -16*a(n-4) +60*a(n-5) -25*a(n-6) n=4: [order 8] n=5: [order 14] EXAMPLE Some solutions for n=4 k=4 ..1..0..0..0. .0..1..1..0. .1..0..0..1. .0..0..0..1. .0..1..0..1 ..0..0..0..0. .0..0..0..0. .1..0..1..0. .0..0..0..1. .0..1..0..1 ..1..0..0..0. .1..0..0..1. .1..0..0..0. .0..0..0..0. .1..0..0..0 ..0..0..0..1. .1..0..0..1. .0..0..0..0. .1..0..1..0. .0..0..0..1 CROSSREFS Column 1 is A000079. Column 2 is A268744. Row 1 is A208354(n+1). Sequence in context: A295275 A295253 A295652 * A283543 A297682 A297607 Adjacent sequences: A269072 A269073 A269074 * A269076 A269077 A269078 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 19 2016 STATUS approved

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Last modified March 2 02:30 EST 2024. Contains 370447 sequences. (Running on oeis4.)