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A098508
Second column of the inverse of a Catalan scaled binomial matrix (A098505).
2
0, 0, 1, 3, 3, 5, 5, 7, 14, 18, 45, 55, 33, 39, 91, 7, 4, 68, 51, 57, 19, 7, 77, 253, 23, 25, 325, 351, 27, 29, 435, 465, 248, 88, 187, 85, 45, 333, 703, 741, 39, 41, 41, 43, 473, 11, 23, 1081, 94, 98, 1225, 425, 221, 689, 477, 495, 385, 133, 551, 1711, 295, 305, 1891
OFFSET
0,4
FORMULA
a(n) = numerator((n+1)*binomial(n, 2)/binomial(2*n, n));
a(n) = numerator((n-1)*n*(n+1)/(2*binomial(2*n, n))).
MATHEMATICA
Table[Numerator[n*(n^2 - 1)/(2*Binomial[2*n, n])], {n, 0, 100}] (* Paolo Xausa, Aug 30 2024 *)
CROSSREFS
Second column of A098505.
Sequence in context: A327710 A339101 A142456 * A355572 A051593 A142712
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Sep 11 2004
STATUS
approved