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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

Table of n, a(n) for n=0..8.

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: A190865 A275427 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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Last modified July 28 15:51 EDT 2021. Contains 346335 sequences. (Running on oeis4.)