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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 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.)