A174632 Partial sums of A029768.

0, 1, 2, 4, 11, 47, 292, 2368, 23427, 272263, 3628872, 54525252, 911484163, 16775498551, 337021458884, 7338279413680, 172130372061035, 4327036966579151, 116046966039565672, 3307263639537314116

Offset

0,3

Comments

Partial sums of number of increasing mobiles with n elements. In an increasing rooted tree, nodes are numbered and numbers increase as you move away from root. The subsequence of primes in this partial sum begins: 2, 11, 47, 272263.

Links

Robert Israel, Table of n, a(n) for n = 0..416

Formula

a(n) = SUM[i=o..n] A029768(i).

Example

a(x) = 0 + 1 + 1 + 2 + 7 + 36 + 245 + 2076 + 21059 + 248836 = 272263 is prime.

Maple

S:= rhs(dsolve({diff(a(x), x) = log(1/(1-a(x)))+1, a(0)=0}, a(x), series, order=31)):
L:= [seq(coeff(S, x, j)*j!, j=0..30)]:
ListTools:-PartialSums(L); # Robert Israel, Dec 21 2017

Crossrefs

Cf. A029768, A032220, A038037, A055356.

Sequence in context: A114954 A134019 A120259 * A307592 A091240 A068488

Adjacent sequences: A174629 A174630 A174631 * A174633 A174634 A174635

Keyword

nonn

Author

Jonathan Vos Post, Mar 24 2010

Status

approved