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
Links
- Harvey P. Dale, Table of n, a(n) for n = 0..1000
Programs
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Mathematica
Table[Sum[Numerator[((n+1)Binomial[n,k])/Binomial[2n,n]],{k,0,n}],{n,0,40}] (* Harvey P. Dale, Nov 18 2012 *)
Formula
a(n)=sum{k=0..n, numerator((n+1)binomial(n, k)/binomial(2n, n))}