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 A297582 T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s. 13
 1, 2, 1, 3, 5, 1, 4, 11, 9, 1, 6, 17, 36, 20, 1, 9, 39, 72, 102, 41, 1, 13, 93, 188, 254, 370, 85, 1, 19, 183, 688, 1017, 1104, 1243, 178, 1, 28, 373, 2085, 5263, 5800, 4428, 3854, 369, 1, 41, 823, 5497, 20771, 47968, 31171, 17549, 13078, 769, 1, 60, 1741, 16037, 76340 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1...2.....3......4.......6.........9.........13..........19............28 .1...5....11.....17......39........93........183.........373...........823 .1...9....36.....72.....188.......688.......2085........5497.........16037 .1..20...102....254....1017......5263......20771.......76340........320326 .1..41...370...1104....5800.....47968.....284289.....1400065.......8274627 .1..85..1243...4428...31171....395011....3355439....21941552.....181405030 .1.178..3854..17549..171543...3230902...38609160...348140132....4059598106 .1.369.13078..71541..945046..27481626..476513137..5752782514...94310855136 .1.769.43861.288624.5175491.229676841.5731862594.92802629660.2136636243308 LINKS R. H. Hardin, Table of n, a(n) for n = 1..311 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = a(n-1) +2*a(n-2) +a(n-3) -a(n-4) k=3: a(n) = a(n-1) +2*a(n-2) +19*a(n-3) +4*a(n-4) -17*a(n-5) -8*a(n-6) k=4: [order 16] k=5: [order 30] k=6: [order 57] Empirical for row n: n=1: a(n) = a(n-1) +a(n-3) n=2: a(n) = a(n-1) +4*a(n-3) +2*a(n-4) n=3: a(n) = a(n-1) +a(n-2) +8*a(n-3) +18*a(n-4) +a(n-5) -11*a(n-6) -12*a(n-7) -a(n-8) n=4: [order 17] n=5: [order 41] n=6: [order 94] EXAMPLE Some solutions for n=5 k=4 ..1..1..0..0. .0..0..0..0. .0..1..0..0. .0..1..0..1. .0..1..1..0 ..0..0..0..0. .0..0..1..0. .1..0..0..0. .0..1..1..0. .0..0..0..0 ..0..0..1..0. .1..1..1..0. .1..0..0..0. .0..1..0..0. .0..1..0..0 ..0..0..0..1. .1..0..0..0. .0..1..0..0. .0..0..0..1. .0..0..1..0 ..0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..1..0. .0..0..0..0 CROSSREFS Column 2 is A105309(n+1). Row 1 is A000930(n+1). Sequence in context: A118243 A210233 A347667 * A134081 A134247 A210225 Adjacent sequences: A297579 A297580 A297581 * A297583 A297584 A297585 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 01 2018 STATUS approved

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Last modified February 25 10:08 EST 2024. Contains 370315 sequences. (Running on oeis4.)