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A173422 Partials sums of A003094 (unlabeled connected planar simple graphs with n nodes). 1
1, 2, 3, 5, 11, 31, 130, 776, 6750, 78635, 1131440, 18580739, 331953037 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 8 12:31 EST 2019. Contains 329864 sequences. (Running on oeis4.)