A179318 Triangle T(n,k) = A127742(n,k)/A048996(n,k) read by rows, k=1..A000041(n).

1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 14, 5, 2, 2, 1, 1, 1, 42, 14, 5, 4, 5, 2, 1, 2, 1, 1, 1, 132, 42, 14, 10, 14, 5, 4, 2, 5, 2, 1, 2, 1, 1, 1, 429, 132, 42, 28, 25, 42, 14, 10, 5, 4, 14, 5, 4, 2, 1, 5, 2, 1, 2, 1, 1, 1, 1430, 429, 132, 84, 70, 132, 42, 28, 25, 14, 10, 8, 42, 14, 10, 5, 4, 2, 14, 5, 4, 2, 1, 5, 2, 1, 2, 1

Offset

1,4

Comments

The row lengths of A127742, A048996 and this triangle here are A000041(n).

Links

Table of n, a(n) for n=1..94.

Formula

sum_{k=1..A000041(n)} T(n,k) = A179381(n).

Example

A127742 begins 1; 1, 1; 2, 2, 1; 5, 4, 1, 3, 1,
A048996 begins 1; 1, 1; 1, 2, 1; 1, 2, 1, 3, 1,
so
T(n,k) begins:
1
1 1
2 1 1
5 2 1 1 1
14 5 2 2 1 1 1

Crossrefs

Cf. A000041, A179381, A048996.

Sequence in context: A347087 A022661 A120292 * A162470 A343234 A174004

Adjacent sequences: A179315 A179316 A179317 * A179319 A179320 A179321

Keyword

nonn,tabf

Author

Alford Arnold, Jul 12 2010

Extensions

Edited and extended by R. J. Mathar, Jul 16 2010

A-numbers of row sums corrected by R. J. Mathar, Aug 01 2010

Status

approved