|
Search: id:A098505
|
|
|
| A098505 |
|
Numerators in inverse of a Catalan scaled binomial matrix. |
|
+0
6
|
|
| 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 1, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 35, 35, 7, 7, 1, 1, 4, 14, 28, 7, 28, 14, 4, 1, 1, 9, 18, 42, 63, 63, 42, 18, 9, 1, 1, 5, 45, 30, 105, 63, 105, 30, 45, 5, 1, 1, 11, 55, 165, 165, 33, 33, 165, 165, 55, 11, 1, 1, 3, 33, 55, 495, 198
(list; table; graph; listen)
|
|
|
OFFSET
|
0,8
|
|
|
COMMENT
|
Row sums are A098506. Diagonal sums are A098507. Second column is A093527. Third column is A098508. Numerators in the inverse of the signed version of A098474, defined by T(n,k)=(-1)^(n-k)binomial(2k,k)binomial(n,k)/(k+1)
|
|
FORMULA
|
Triangle T(n, k)=numerator((n+1)binomial(n, k)/binomial(2n, n))
|
|
EXAMPLE
|
Rows begin {1}, {1,1}, {1,3,3,1}, {1,2,3,2,1}, {1,5,5,5,5,1},...
|
|
CROSSREFS
|
Sequence in context: A114266 A135910 A107333 this_sequence A021306 A125300 A126717
Adjacent sequences: A098502 A098503 A098504 this_sequence A098506 A098507 A098508
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Sep 11 2004
|
|
|
Search completed in 0.002 seconds
|
