A265435 Riordan array (1, x*f(x)) where f(x) is the g.f. of A007564.

1, 0, 1, 0, 1, 1, 0, 4, 2, 1, 0, 19, 9, 3, 1, 0, 100, 46, 15, 4, 1, 0, 562, 254, 82, 22, 5, 1, 0, 3304, 1476, 474, 128, 30, 6, 1, 0, 20071, 8893, 2847, 773, 185, 39, 7, 1, 0, 124996, 55046, 17587, 4796, 1165, 254, 49, 8, 1, 0, 793774, 347922, 111006, 30378, 7461, 1665, 336, 60, 9, 1

Offset

0,8

Comments

Triangle T(n,k), 0<=k<=n, read by rows, given by (0, 1, 3, 1, 3, 1, 3, 1, 3, ...) DELTA (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...) where DELTA is the operator defined in A084938.

Links

Alois P. Heinz, Rows n = 0..140, flattened

Example

Triangle begins:
  1
  0,   1
  0,   1,  1
  0,   4,  2,  1
  0,  19,  9,  3, 1
  0, 100, 46, 15, 4, 1
Production matrix begins:
  0,  1
  0,  1,  1
  0,  3,  1, 1
  0,  9,  3, 1, 1
  0, 27,  9, 3, 1, 1
  0, 81, 27, 9, 3, 1, 1

Crossrefs

Cf. A007564, A108524 (row sums).

Sequence in context: A110324 A357586 A266861 * A277004 A371077 A113092

Adjacent sequences: A265432 A265433 A265434 * A265436 A265437 A265438

Keyword

nonn,tabl

Author

Philippe Deléham, Dec 09 2015

Status

approved