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 A266131 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself. 12
 1, 3, 1, 4, 9, 1, 5, 25, 20, 1, 9, 49, 77, 61, 1, 16, 149, 117, 385, 189, 1, 25, 625, 278, 572, 2099, 544, 1, 39, 2141, 1959, 3851, 4336, 9083, 1629, 1, 64, 5433, 11044, 44623, 62104, 19750, 48188, 4973, 1, 105, 17269, 36730, 347576, 1285961, 326145, 102201, 249446 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1.....3.......4........5.........9.........16..........25.........39 .1.....9......25.......49.......149........625........2141.......5433 .1....20......77......117.......278.......1959.......11044......36730 .1....61.....385......572......3851......44623......347576....1650710 .1...189....2099.....4336.....62104....1285961....16386099..124675418 .1...544....9083....19750....326145...13689944...325554385.3901509248 .1..1629...48188...102201...4176690..311260836.10444421518 .1..4973..249446...620508..50677045.6688962679 .1.15040.1166325..3041449.367191341 .1.45739.6288299.16217839 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: [order 10] k=3: [order 26] for n>27 Empirical for row n: n=1: a(n) = a(n-1) +a(n-3) +a(n-4) n=2: [order 17] n=3: [order 77] EXAMPLE Some solutions for n=4 k=4 ..0..0..1..1....0..2..1..2....1..0..2..1....2..1..2..0....0..2..1..0 ..0..2..0..1....0..0..1..2....0..2..0..1....0..1..2..0....0..2..1..1 ..0..0..1..2....0..2..0..2....3..2..1..1....1..0..2..0....0..2..0..2 ..0..2..1..2....0..0..1..1....0..2..1..0....1..1..0..0....0..0..1..1 CROSSREFS Column 2 is A196212. Row 1 is A195971. Sequence in context: A049916 A220605 A094166 * A338871 A202353 A108621 Adjacent sequences:  A266128 A266129 A266130 * A266132 A266133 A266134 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 21 2015 STATUS approved

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Last modified December 4 04:49 EST 2021. Contains 349469 sequences. (Running on oeis4.)