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 A195768 T(n,k)=Number of triangular nXnXn 0..k arrays with all row sums equal to the length of the row and all diagonal sums equal to the length of the respective diagonal 6
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 15, 1, 1, 1, 1, 3, 18, 135, 1, 1, 1, 1, 3, 18, 228, 2889, 1, 1, 1, 1, 3, 18, 228, 8472, 146559, 1, 1, 1, 1, 3, 18, 228, 8904, 898125, 17742675, 1, 1, 1, 1, 3, 18, 228, 8904, 1037343, 276763188, 5342155407, 1, 1, 1, 1, 3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,14 COMMENTS Table starts .1........1.........1.........1.......1....1...1..1.1.1.1.1 .1........1.........1.........1.......1....1...1..1.1.1.1 .1........1.........1.........1.......1....1...1..1.1.1 .1........3.........3.........3.......3....3...3..3.3 .1.......15........18........18......18...18..18.18 .1......135.......228.......228.....228..228.228 .1.....2889......8472......8904....8904.8904 .1...146559....898125...1037343.1039761 .1.17742675.276763188.374504433 LINKS R. H. Hardin, Table of n, a(n) for n = 1..75 EXAMPLE Some solutions for n=8 k=6 .........1................1................1................1 ........0.2..............0.2..............0.2..............0.2 .......2.0.1............2.0.1............0.1.2............2.0.1 ......1.0.0.3..........1.0.2.1..........1.1.2.0..........1.1.1.1 .....1.2.1.1.0........1.0.2.2.0........0.2.1.1.1........1.0.0.2.2 ....0.1.1.0.4.0......2.2.1.1.0.0......3.1.1.0.1.0......1.1.2.0.2.0 ...2.2.2.1.0.0.0....0.1.0.0.1.3.2....2.0.0.1.2.1.1....1.2.2.2.0.0.0 ..1.0.1.0.0.3.2.1..1.2.0.1.3.0.0.1..1.0.0.3.0.2.1.1..1.1.0.0.0.3.2.1 CROSSREFS Sequence in context: A062278 A260638 A268523 * A016465 A122947 A367990 Adjacent sequences: A195765 A195766 A195767 * A195769 A195770 A195771 KEYWORD nonn,tabl AUTHOR R. H. Hardin Sep 23 2011 STATUS approved

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Last modified April 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)