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 A270850 T(n,k)=Number of nXnXn triangular 0..k arrays with some element plus some adjacent element totalling k+1, k or k-1 exactly once. 12
 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 24, 30, 0, 0, 0, 66, 270, 252, 0, 0, 0, 120, 1650, 6822, 2298, 0, 0, 0, 198, 7344, 108348, 307494, 28440, 0, 0, 0, 288, 24954, 1144464, 15754872, 27582438, 460494, 0, 0, 0, 402, 68838, 8559378, 469037376, 5805948474, 4875050400 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Table starts .0.0......0..........0.............0................0..................0 .0.0......6.........24............66..............120................198 .0.0.....30........270..........1650.............7344..............24954 .0.0....252.......6822........108348..........1144464............8559378 .0.0...2298.....307494......15754872........469037376.........8746813158 .0.0..28440...27582438....5805948474.....571228600932.....29999932959600 .0.0.460494.4875050400.5281372355106.2104222937252028.358240737864481086 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4) for n>5 n=3: [order 10] for n>17 n=4: [order 18] for n>33 Empirical quasipolynomials for row n: n=2: polynomial of degree 2 plus a quasipolynomial of degree 0 with period 2 for n>1 n=3: polynomial of degree 5 plus a quasipolynomial of degree 3 with period 2 for n>7 n=4: polynomial of degree 9 plus a quasipolynomial of degree 7 with period 2 for n>15 EXAMPLE Some solutions for n=4 k=4 .....3........0........4........3........2........3........0........0 ....4.3......0.1......4.4......4.4......4.4......4.4......0.0......1.2 ...4.2.4....1.0.1....2.4.3....3.3.3....3.4.4....2.4.4....0.0.0....1.0.0 ..3.4.4.3..2.0.1.0..4.2.4.3..2.4.4.3..4.2.4.2..0.4.4.2..2.1.0.2..0.1.1.1 CROSSREFS Sequence in context: A308091 A096527 A028599 * A322379 A225339 A365989 Adjacent sequences: A270847 A270848 A270849 * A270851 A270852 A270853 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 24 2016 STATUS approved

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Last modified December 8 16:32 EST 2023. Contains 367680 sequences. (Running on oeis4.)