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A174146 Partial sums of A000238. 1
1, 2, 5, 13, 40, 131, 481, 1857, 7600, 32235, 141203, 633383, 2899885, 13498337, 63734268, 304606922, 1471339736, 7173341171, 35262128485, 174617051093, 870425605393, 4364815662605, 22006511124267, 111501534635143, 567511427859428, 2900508758069868 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Partial sums of number of oriented trees with n nodes. The subsequence of primes in this partial sum begins: 2, 5, 13, 131, 633383, 870425605393, 55532683410408578237, 290078510058531496879, 26098901136734259174974296003.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = Sum_{i=1..n} A000238(i).

EXAMPLE

a(32) = 1 + 1 + 3 + 8 + 27 + 91 + 350 + 1376 + 5743 + 24635 + 108968 + 492180 + 2266502 + 10598452 + 50235931 + 240872654 + 1166732814 + 5702001435 + 28088787314 + 139354922608 + 695808554300 + 3494390057212 + 17641695461662 + 89495023510876 + 456009893224285 + 2332997330210440 + 11980753878699716 + 61739654323377296 + 319188605907760846 + 1655151350788152551 + 8606939469625111036 + 44874783067127406924.

CROSSREFS

Cf. A000238.

Sequence in context: A202153 A149864 A149865 * A149866 A149867 A062704

Adjacent sequences:  A174143 A174144 A174145 * A174147 A174148 A174149

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Mar 09 2010

STATUS

approved

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Last modified September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)