A330792 T(n, k) = P(n-k, k) where P(n, x) = Sum_{k=0..n} A064189(n, k)*x^k. Triangle read by rows, for 0 <= k <= n.

1, 1, 1, 2, 2, 1, 4, 5, 3, 1, 9, 13, 10, 4, 1, 21, 35, 34, 17, 5, 1, 51, 96, 117, 73, 26, 6, 1, 127, 267, 405, 315, 136, 37, 7, 1, 323, 750, 1407, 1362, 713, 229, 50, 8, 1, 835, 2123, 4899, 5895, 3741, 1419, 358, 65, 9, 1, 2188, 6046, 17083, 25528, 19635, 8796, 2565, 529, 82, 10, 1

Offset

0,4

Links

Table of n, a(n) for n=0..65.

Example

Triangle starts:
[0]   1
[1]   1,    1
[2]   2,    2,    1
[3]   4,    5,    3,    1
[4]   9,   13,   10,    4,    1
[5]  21,   35,   34,   17,    5,    1
[6]  51,   96,  117,   73,   26,    6,   1
[7] 127,  267,  405,  315,  136,   37,   7,  1
[8] 323,  750, 1407, 1362,  713,  229,  50,  8, 1
[9] 835, 2123, 4899, 5895, 3741, 1419, 358, 65, 9, 1

Maple

P := (n, x) -> add(A064189(n, k)*x^k, k=0..n):
seq(seq(P(n-k, k), k=0..n), n=0..10);

Crossrefs

Cf. A064189.

Sequence in context: A322329 A064189 A273897 * A063415 A098977 A247311

Adjacent sequences: A330789 A330790 A330791 * A330793 A330794 A330795

Keyword

nonn,tabl

Author

Peter Luschny, Jan 01 2020

Status

approved