A174122 Partial sums of A001831.

1, 2, 5, 18, 105, 946, 12589, 240482, 6526289, 250119330, 13512676053, 1027978959346, 110155994874553, 16631509898085074, 3540687511804739837, 1063409634646294541250, 450894476653951603096737

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: A366449 A304918 A007769 * A005805 A058338 A006896

Adjacent sequences: A174119 A174120 A174121 * A174123 A174124 A174125

Keyword

nonn

Author

Jonathan Vos Post, Mar 08 2010

Status

approved