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 A174537 Partial sums of A000372. 0
 2, 5, 11, 31, 199, 7780, 7836134, 2414689877132, 56130437231102247784920 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Partial sums of Dedekind numbers. Partial sums of number of monotone Boolean functions of n variables (increasing functions from P(S), the set of subsets of S, to {0,1}). Partial sums of number of antichains of subsets of an n-set. The subsequence of primes in this partial sum begins: 2, 5, 11, 31, 199 is prime (5 in a row, then no more known). LINKS FORMULA a(n) = SUM[i=0..n] A000372(i) = SUM[i=0..n] (A014466(i) + 1) = SUM[i=0..n] (A007153(i) + 2). EXAMPLE a(4) = 2 + 3 + 6 + 20 + 168 = 199 is prime. CROSSREFS Cf. A000372, A014466, A007153, A003182, A059119. Sequence in context: A002862 A190865 A139464 * A101837 A124483 A079571 Adjacent sequences:  A174534 A174535 A174536 * A174538 A174539 A174540 KEYWORD nonn AUTHOR Jonathan Vos Post, Mar 21 2010 STATUS approved

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