A174122 Partial sums of A001831.

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

Offset: 0

Author

Jonathan Vos Post, Mar 08 2010

Keywords

• nonn

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.

Crossrefs

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

Formula

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