A173498 Partial sums of A005588.

2, 9, 61, 2194, 2592601, 3374954133663, 5695183504482491594510172, 16217557574922386301420519886707289378131172220652, 131504586847961235687181874578063117114329409897566535831366955410641808739121788386036154689297602

Offset

1,1

Comments

Partial sums of number of free binary rooted trees of height n. The subsequence of primes in this partial sum begins: 2, 61, no more through a(12).

Links

Table of n, a(n) for n=1..9.

Formula

a(n) = Sum_{i=1..n} A005588(i).

Example

a(9) = 2 + 7 + 52 + 2133 + 2590407 + 3374951541062 + 5695183504479116640376509 + 16217557574922386301420514191523784895639577710480 + 131504586847961235687181874578063117114329409897550318273792033024340388219235081096658023517076950.

Crossrefs

Cf. A005588, A002658, A006894.

Sequence in context: A121870 A268450 A146887 * A113662 A352326 A052820

Adjacent sequences: A173495 A173496 A173497 * A173499 A173500 A173501

Keyword

nonn

Author

Jonathan Vos Post, Feb 19 2010

Status

approved