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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