A173422 Partials sums of A003094 (unlabeled connected planar simple graphs with n nodes).

1, 2, 3, 5, 11, 31, 130, 776, 6750, 78635, 1131440, 18580739, 331953037

Offset

0,2

Comments

Partials sums of number of unlabeled connected planar simple graphs with n nodes. The subsequence of primes in these partial sums begins: 2, 3, 5, 11, 31.

Links

Table of n, a(n) for n=0..12.

Formula

a(n) = Sum_{i=0..n} A003094(i).

Example

a(11) = 1 + 1 + 1 + 2 + 6 + 20 + 99 + 646 + 5974 + 71885 + 1052805 + 17449299.

Prog

(PARI) S=0; A173422=apply(t->S+=t, A003094) \\ with A003094 defined as vector of the initial terms of that sequence. - M. F. Hasler, Mar 20 2018

Crossrefs

Cf. A003094, inverse Euler transform of A005470, A126201.

Sequence in context: A112279 A130166 A007097 * A132745 A124538 A124627

Adjacent sequences: A173419 A173420 A173421 * A173423 A173424 A173425

Keyword

hard,nonn

Author

Jonathan Vos Post, Feb 18 2010

Extensions

Edited and a(12) added by M. F. Hasler, Mar 20 2018

Status

approved