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A174537 Partial sums of A000372. 0
2, 5, 11, 31, 199, 7780, 7836134, 2414689877132, 56130437231102247784920, 286386577668298411184599588898700746597286 (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
Sequence in context: A190865 A275427 A139464 * A101837 A124483 A079571
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Mar 21 2010
EXTENSIONS
a(9) from A000372 - Dmitry I. Ignatov, Nov 27 2023
STATUS
approved

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)