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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A176688 Partial sums of A058681.

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%I A176688 #7 Jun 09 2023 21:23:26
%S A176688 1,8,44,215,1028,5040,25931,141394,818940,5030489,32670830,223561960,
%T A176688 1606504121,12086613500,94951417768,777028092855,6609770035768,
%U A176688 58333927746852,533203742855027,5039919479205198,49191925330095240
%N A176688 Partial sums of A058681.
%C A176688 Partial sums of number of matroids of rank 2 on n labeled points. Partial sums of number of collections containing two or more nonempty subsets of {1,2,...n} that are pairwise disjoint. The subsequence of primes in this partial sum begins: 25931, 5030489.
%F A176688 a(n) = Sum_{i=2..n} A058681(i) = Sum_{i=2..n} (B(n+1) - 2^n), where B = Bell numbers (A000110).
%e A176688 a(11) = 1 + 7 + 36 + 171 + 813 + 4012 + 20891 + 115463 + 677546 + 4211549 = 5030489 is prime.
%t A176688 Accumulate[Table[BellB[n+1]-2^n,{n,2,30}]] (* _Harvey P. Dale_, Feb 14 2012 *)
%Y A176688 Cf. A000110, A058681.
%K A176688 easy,nonn
%O A176688 2,2
%A A176688 _Jonathan Vos Post_, Apr 23 2010