A329709 Triangle, read by rows, where the n-th row lists the (n^2+1) coefficients of (1+2*x+...+(n+1)*x^n)^n.

1, 1, 2, 1, 4, 10, 12, 9, 1, 6, 21, 56, 111, 174, 219, 204, 144, 64, 1, 8, 36, 120, 330, 768, 1544, 2728, 4275, 5920, 7256, 7848, 7386, 5880, 3900, 2000, 625, 1, 10, 55, 220, 715, 2002, 4970, 11120, 22685, 42570, 73953, 119340, 179305, 251230, 328450, 400304, 453695, 476870, 462815, 411740, 332045, 239070, 150840, 79920, 32400, 7776

Offset

0,3

Links

Seiichi Manyama, Rows n = 0..30, flattened

Example

Triangle begins:
  1;
  1, 2;
  1, 4, 10, 12,   9;
  1, 6, 21, 56, 111, 174, 219, 204, 144, 64;
  ...

Prog

(PARI) for(n=0, 5, print(Vecrev(sum(k=0, n, (k+1)*x^k)^n), ", "))

Crossrefs

Cf. A181567, A329708.

Sequence in context: A038195 A212770 A205855 * A038521 A134654 A198262

Adjacent sequences: A329706 A329707 A329708 * A329710 A329711 A329712

Keyword

nonn,tabf

Author

Seiichi Manyama, Feb 29 2020

Status

approved