A098506 Row sums of the number triangle A098505.

1, 2, 3, 8, 9, 22, 19, 100, 101, 266, 435, 860, 1603, 4110, 6529, 4672, 12397, 21558, 7845, 57648, 9447, 50190, 199053, 1880620, 1710309, 7344462, 7529113, 34610408, 555889, 3316906, 21528385, 167087336, 124402817, 73289470, 764401867

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Formula

a(n)=sum{k=0..n, numerator((n+1)binomial(n, k)/binomial(2n, n))}

Mathematica

Table[Sum[Numerator[((n+1)Binomial[n, k])/Binomial[2n, n]], {k, 0, n}], {n, 0, 40}] (* Harvey P. Dale, Nov 18 2012 *)

Crossrefs

Sequence in context: A247375 A282508 A103026 * A279090 A163168 A085453

Adjacent sequences: A098503 A098504 A098505 * A098507 A098508 A098509

Keyword

easy,nonn

Author

Paul Barry, Sep 11 2004

Status

approved