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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; text; 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)

LINKS

Table of n, a(n) for n=0..83.

FORMULA

Triangle T(n, k)=numerator((n+1)binomial(n, k)/binomial(2n, n))

EXAMPLE

Rows begin

1;

1,1;

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 A330958 A327186

Adjacent sequences:  A098502 A098503 A098504 * A098506 A098507 A098508

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Sep 11 2004

STATUS

approved

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Last modified December 2 11:44 EST 2021. Contains 349440 sequences. (Running on oeis4.)