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 A232414 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal, diagonal or antidiagonal neighbor 15
 15, 159, 109, 973, 2689, 611, 6477, 44971, 48971, 3635, 46713, 876881, 2189991, 890283, 21717, 334521, 18073053, 119994763, 107913855, 16262989, 129323, 2375879, 366033741, 7049296087, 16776955943, 5322933313, 296516955, 770747 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....15........159............973..............6477.................46713 ....109.......2689..........44971............876881..............18073053 ....611......48971........2189991.........119994763............7049296087 ...3635.....890283......107913855.......16776955943.........2832909399671 ..21717...16262989.....5322933313.....2346397695011......1137726954093673 .129323..296516955...262249675165...327861770666547....456432801562470697 .770747.5408696699.12924602609687.45820119635323263.183153958944323007479 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: [linear recurrence of order 9] k=2: [order 14] k=3: [order 64] Empirical for row n: n=1: [linear recurrence of order 10] n=2: [order 34] EXAMPLE Some solutions for n=2 k=4 ..0..0..1..2..1....0..0..0..1..1....0..0..1..1..2....0..0..1..1..1 ..0..2..2..1..1....0..2..2..2..1....0..0..2..2..2....0..1..2..1..1 ..2..0..1..1..1....2..1..1..1..2....0..1..0..2..2....1..2..2..1..1 CROSSREFS Column 1 is A232117 Sequence in context: A016304 A016849 A300077 * A183555 A232415 A016297 Adjacent sequences:  A232411 A232412 A232413 * A232415 A232416 A232417 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 23 2013 STATUS approved

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Last modified November 27 12:03 EST 2021. Contains 349394 sequences. (Running on oeis4.)