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A174122 Partial sums of A001831. 0
1, 2, 5, 18, 105, 946, 12589, 240482, 6526289, 250119330, 13512676053, 1027978959346, 110155994874553, 16631509898085074, 3540687511804739837, 1063409634646294541250, 450894476653951603096737 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of number of labeled graded partially ordered sets with n elements. The subsequence of primes in this partial sum begins: 2, 5, 12589.

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) = SUM[i=0..n] A001831(i) = SUM[i=0..n] SUM[j=0..i] ((-1)^j*C(n,j)*A047863(j)).

CROSSREFS

Cf. A001831, A002031, A047863, A052332, A001833, A048194, A052296, A135753, A135754.

Sequence in context: A093730 A304918 A007769 * A005805 A058338 A006896

Adjacent sequences:  A174119 A174120 A174121 * A174123 A174124 A174125

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Mar 08 2010

STATUS

approved

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Last modified January 26 17:22 EST 2020. Contains 331280 sequences. (Running on oeis4.)