login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Partial sums of A007322.
0

%I #14 Oct 14 2024 08:11:19

%S 1,7,46,366,3647,44205,630956,10350572,191704349,3954598099,

%T 89888942874,2231742720730,60083847852539,1743321481158041,

%U 54226970410827160,1800062257926566488,63512168752599139129,2373501269897667585631

%N Partial sums of A007322.

%F a(n) = Sum_{i=1..n} Sum_{r>=0,s>=0} binomial(r*s+i-1,i)/2^(r+s+2).

%e a(3) = 1 + 6 + 39 = 46.

%Y Cf. A007322, A120733.

%K nonn

%O 1,2

%A _Jonathan Vos Post_, Dec 31 2010