A013622 Triangle of coefficients in expansion of (3+5x)^n.

1, 3, 5, 9, 30, 25, 27, 135, 225, 125, 81, 540, 1350, 1500, 625, 243, 2025, 6750, 11250, 9375, 3125, 729, 7290, 30375, 67500, 84375, 56250, 15625, 2187, 25515, 127575, 354375, 590625, 590625, 328125, 78125, 6561, 87480, 510300, 1701000

Offset

0,2

Links

Vincenzo Librandi, Rows n = 0..100, flattened

Gábor Kallós, A generalization of Pascal’s triangle using powers of base numbers, Annales mathématiques Blaise Pascal, 13 no. 1 (2006), p. 1-15.

Formula

G.f.: 1 / (1 - x*(3+5*y)).

Example

Triangle begins:
1,
3, 5,
9, 30, 25,
27, 135, 225, 125,
81, 540, 1350, 1500, 625,
243, 2025, 6750, 11250, 9375, 3125,
729, 7290, 30375, 67500, 84375, 56250, 15625,
... - Vincenzo Librandi, Apr 22 2014

Mathematica

Flatten[Table[Binomial[i, j] 3^(i-j) 5^j, {i, 0, 10}, {j, 0, i}]] (* Vincenzo Librandi, Apr 22 2014 *)

Crossrefs

Sequence in context: A338604 A209286 A082711 * A246666 A027715 A082703

Adjacent sequences: A013619 A013620 A013621 * A013623 A013624 A013625

Keyword

tabl,nonn,easy

Author

N. J. A. Sloane.

Status

approved