A085853 Triangle T(n, k) read by rows; given by [1, 1, 1, 1, 1, 1, 1, 1, ...] DELTA [1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, ...] (A000005 interspersed with 0's) where DELTA is Deléham's operator defined in A084938.

1, 1, 1, 2, 3, 1, 5, 11, 7, 1, 14, 42, 42, 15, 1, 42, 162, 227, 137, 31, 1, 132, 627, 1145, 996, 408, 63, 1, 429, 2432, 5516, 6345, 3849, 1143, 127, 1, 1430, 9453, 25752, 37141, 30238, 13634, 3062, 255, 1, 4862, 36821, 117581, 205138, 211512

Offset

0,4

Links

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

Formula

T(n,0)= A000108(n), Catalan numbers .

Example

Triangle begins :
1;
1, 1;
2, 3, 1;
5, 11, 7, 1;
14, 42, 42, 15, 1; ...

Crossrefs

Cf. A000005, A000012, A000108, A000225 (first subdiagonal).

Sequence in context: A144634 A178125 A147315 * A185997 A231733 A182822

Adjacent sequences: A085850 A085851 A085852 * A085854 A085855 A085856

Keyword

nonn,tabl

Author

N. J. A. Sloane, Aug 16 2003

Status

approved