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 A098509 Denominators of the inverse of a Catalan scaled binomial matrix. 3
 1, 1, 1, 2, 1, 2, 5, 5, 5, 5, 14, 7, 7, 7, 14, 42, 42, 21, 21, 42, 42, 132, 22, 44, 33, 44, 22, 132, 429, 429, 143, 429, 429, 143, 429, 429, 1430, 715, 715, 715, 143, 715, 715, 715, 1430, 4862, 4862, 2431, 2431, 2431, 2431, 2431, 2431, 4862, 4862, 16796, 8398 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS First column and main diagonal are A000108. Row sums are A098510. Diagonal sums are A098511. Second column is A098512. LINKS Table of n, a(n) for n=0..56. FORMULA Triangle T(n, k)=denominator((n+1)binomial(n, k)/binomial(2n, n)) EXAMPLE Rows begin 1; 1,1; 2,1,2; 5,5,5,5; 14,7,7,7,14; ... MATHEMATICA T[n_, k_] := Denominator[(n + 1)*(Binomial[n, k]/Binomial[2*n, n])]; Table[T[n, k], {n, 0, 10}, {k, 0, n}] // Flatten (* Jean-François Alcover, Jan 07 2018 *) CROSSREFS Cf. A098505, A098474. Sequence in context: A241349 A330405 A111934 * A019910 A084309 A047991 Adjacent sequences: A098506 A098507 A098508 * A098510 A098511 A098512 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Sep 11 2004 STATUS approved

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Last modified March 3 04:14 EST 2024. Contains 370499 sequences. (Running on oeis4.)