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 A240250 T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4 12
 3, 6, 6, 14, 0, 14, 32, 8, 0, 32, 72, 40, 16, 0, 72, 164, 152, 162, 44, 0, 164, 372, 540, 688, 536, 122, 0, 372, 844, 1578, 3964, 3530, 2152, 368, 0, 844, 1916, 5912, 16600, 33216, 17476, 8564, 1058, 0, 1916, 4348, 18528, 110134, 189430, 246458, 96752, 29708, 3088 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....3.6....14......32.......72........164........372.........844........1916 ....6.0.....8......40......152........540.......1578........5912.......18528 ...14.0....16.....162......688.......3964......16600......110134......492060 ...32.0....44.....536.....3530......33216.....189430.....2166204....14671432 ...72.0...122....2152....17476.....246458....2077950....38186418...396423206 ..164.0...368....8564....96752....2043488...26986182...807290260.13612747250 ..372.0..1058...29708...508444...16426440..326181996.16596832788 ..844.0..3088..111370..2779754..143288058.4661555368 .1916.0..8534..400694.15042466.1177286938 .4348.0.24012.1443716.82159256 LINKS R. H. Hardin, Table of n, a(n) for n = 1..109 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) k=2: a(n) = a(n-1) for n>2 Empirical for row n: n=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) n=2: [order 25] EXAMPLE Some solutions for n=4 k=4 ..2..3..2..1....2..3..2..1....1..3..3..2....2..1..1..1....1..3..3..2 ..1..0..0..3....1..0..0..3....2..0..0..1....3..0..2..2....2..0..1..1 ..1..2..0..2....1..2..1..1....1..0..0..2....2..0..0..1....1..0..2..1 ..1..0..0..3....2..3..0..2....1..2..0..2....2..3..2..1....1..0..3..1 CROSSREFS Row and column 1 are A238768 Sequence in context: A208796 A319867 A202931 * A239424 A119306 A107972 Adjacent sequences: A240247 A240248 A240249 * A240251 A240252 A240253 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 03 2014 STATUS approved

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)