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 A265878 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself. 5
 1, 3, 3, 5, 25, 5, 11, 137, 137, 11, 26, 2084, 1330, 2084, 26, 55, 14854, 30363, 30363, 14854, 55, 119, 136969, 544092, 4393458, 544092, 136969, 119, 263, 1288011, 9831410, 344222538, 344222538, 9831410, 1288011, 263, 573, 10892624, 185555660 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.......3.........5............11...............26...................55 ...3......25.......137..........2084............14854...............136969 ...5.....137......1330.........30363...........544092..............9831410 ..11....2084.....30363.......4393458........344222538..........26635427570 ..26...14854....544092.....344222538......90246574543.......21163068638346 ..55..136969...9831410...26635427570...21163068638346....15698042741229661 .119.1288011.185555660.2364713952883.6441486693916691.16536262399332183012 LINKS R. H. Hardin, Table of n, a(n) for n = 1..83 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) k=2: [order 41] EXAMPLE Some solutions for n=3 k=4 ..0..1..2..0....0..0..1..2....2..1..4..1....1..4..3..0....0..3..3..2 ..3..5..5..0....0..5..6..0....1..0..0..3....0..1..2..2....0..1..1..1 ..0..0..0..0....0..0..3..1....1..3..4..0....2..3..3..0....1..1..0..2 CROSSREFS Column 1 is A196423. Sequence in context: A365083 A196430 A366594 * A201496 A110426 A200562 Adjacent sequences: A265875 A265876 A265877 * A265879 A265880 A265881 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 17 2015 STATUS approved

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Last modified August 6 14:16 EDT 2024. Contains 374974 sequences. (Running on oeis4.)