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 A240000 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 13
 2, 3, 5, 4, 13, 12, 5, 25, 61, 28, 6, 42, 190, 256, 66, 7, 65, 526, 1372, 1117, 156, 8, 95, 1262, 6527, 10405, 5012, 368, 9, 133, 2766, 27415, 86360, 83029, 22592, 868, 10, 180, 5647, 104291, 635873, 1225281, 685898, 102336, 2048, 11, 237, 10878, 363859 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.......3.........4...........5............6............7............8 ....5......13........25..........42...........65...........95..........133 ...12......61.......190.........526.........1262.........2766.........5647 ...28.....256......1372........6527........27415.......104291.......363859 ...66....1117.....10405.......86360.......635873......4267171.....26152051 ..156....5012.....83029.....1225281.....15981219....191691132...2090236137 ..368...22592....685898....18392485....429788876...9314138750.182333502325 ..868..102336...5825700...290513038..12392346376.491124025940 .2048..465662..50417154..4767970186.378942837634 .4832.2123857.441675344.80410934960 LINKS R. H. Hardin, Table of n, a(n) for n = 1..98 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-3) k=2: [order 26] Empirical for row n: n=1: a(n) = n + 1 n=2: a(n) = (1/6)*n^3 + 1*n^2 + (23/6)*n n=3: [polynomial of degree 8] for n>6 n=4: [polynomial of degree 19] for n>20 n=5: [polynomial of degree 44] for n>52 EXAMPLE Some solutions for n=4 k=4 ..0..3..3..0....0..0..3..3....3..3..0..0....3..3..0..0....0..0..0..0 ..0..0..2..1....0..3..2..3....2..2..3..3....0..3..1..3....3..3..0..0 ..3..3..0..0....0..0..2..2....2..0..0..0....3..3..1..2....3..3..1..3 ..2..1..2..0....0..3..2..3....3..1..0..0....2..2..2..1....3..3..2..2 CROSSREFS Column 1 is A239333 Sequence in context: A131401 A061446 A280690 * A193770 A107476 A094140 Adjacent sequences:  A239997 A239998 A239999 * A240001 A240002 A240003 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 30 2014 STATUS approved

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Last modified June 13 00:57 EDT 2021. Contains 344980 sequences. (Running on oeis4.)