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