A098506 - OEIS

%I #7 Nov 18 2012 12:15:36

%S 1,2,3,8,9,22,19,100,101,266,435,860,1603,4110,6529,4672,12397,21558,

%T 7845,57648,9447,50190,199053,1880620,1710309,7344462,7529113,

%U 34610408,555889,3316906,21528385,167087336,124402817,73289470,764401867

%N Row sums of the number triangle A098505.

%H Harvey P. Dale, <a href="/A098506/b098506.txt">Table of n, a(n) for n = 0..1000</a>

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

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

%K easy,nonn

%O 0,2

%A _Paul Barry_, Sep 11 2004