A127742 -id:A127742 - cp's OEIS frontend

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

Alford Arnold, Jul 12 2010

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

			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

Cf. A000041, A179381, A048996.

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

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

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

A179315 Nonzero differences A179313(n,k)- A127742(n,k) read along rows.

Original entry on oeis.org

1, 8, 2, 50, 16, 2, 3, 294, 100, 16, 4, 24, 6, 4, 1717, 588, 100, 32, 11, 150, 48, 12, 3, 32, 12, 5, 10194, 3434, 588, 200, 124, 882, 300

Offset: 4

Alford Arnold, Jul 12 2010

Refinement of the nonzero entries of A016098.

			A179313 .begins 1; 1 1; 2 2 1; 6 4 1 3 1; 22 12 4 6 3 4 1; 92 44 12 18
A127742 .begins 1; 1 1; 2 2 1; 5 4 1 3 1; 14 10 4 6 3 4 1; 42 28 10 15
so
This seq begins................1...........8..2............50 16 02 03

Cf. A000041, A016098, A000110, A000108, A179313

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

cp's OEIS Frontend

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

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