




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 nset. 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



