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Partial sums of A104725.
0

%I #2 Mar 30 2012 18:40:51

%S 0,1,2,3,5,6,9,10,15,17,20,21,32,33,36,39,54,55,66,67,78,81,84,85,130,

%T 132,135,140,151,152,171,172,224,227,230,233,295,296,299,302,347,348,

%U 367,368,379,390,393,394,594,596,607,610,621,622,667,670,715,718,721

%N Partial sums of A104725.

%C Partial sums of number of complementing systems of subsets of {0, 1, ..., n-1}. The subsequence of squares in this partial sum begins: 1, 9, 36, 81, 1849. The subsequence of primes in this partial sum begins: 2, 3, 5, 17, 67, 151, 227, 233, 347, 367, 379, 607, 839, 1087, 1109, 1733.

%F a(n) = SUM[i=0..n] A104725(i).

%e a(85) = 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 5 + 2 + 3 + 1 + 11 + 1 + 3 + 3 + 15 + 1 + 11 + 1 + 11 + 3 + 3 + 1 + 45 + 2 + 3 + 5 + 11 + 1 + 19 + 1 + 52 + 3 + 3 + 3 + 62 + 1 + 3 + 3 + 45 + 1 + 19 + 1 + 11 + 11 + 3 + 1 + 200 + 2 + 11 + 3 + 11 + 1 + 45 + 3 + 45 + 3 + 3 + 1 + 113 + 1 + 3 + 11 + 203 + 3 + 19 + 1 + 11 + 3 + 19 + 1 + 355 + 1 + 3 + 11 + 11 + 3 + 19 + 1 + 200 + 15 + 3 + 1 + 113 + 3.

%Y Cf. A104725, A074206, A002033.

%K nonn

%O 0,3

%A _Jonathan Vos Post_, Feb 19 2010