|
| |
|
|
A098505
|
|
Numerators in inverse of a Catalan scaled binomial matrix.
|
|
5
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,8
|
|
|
COMMENTS
| 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: A107333 A161642 A152141 * A178395 A021306 A125300
Adjacent sequences: A098502 A098503 A098504 * A098506 A098507 A098508
|
|
|
KEYWORD
| easy,nonn,tabl
|
|
|
AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 11 2004
|
| |
|
|
