A178097 Partial sums of A038034.

1, 3, 6, 13, 21, 73, 126, 414, 1623, 6870, 12118, 83513, 154909, 530688, 7488221, 59799083, 112109946, 1264732499, 2417355053, 47993257518, 1344401112069, 2924929100020, 4505457087972, 77750773769171, 662158294591369

Offset

1,2

Comments

Partial sums of number of ordered partitions of 1 into {1, 1/2, 1/3, ..., 1/n}. The subsequence of primes in the partial sum begins: 3, 13, 73, 59799083, 2417355053.

Links

Table of n, a(n) for n=1..25.

Formula

a(n) = SUM[i=1..n] A038034(i) = SUM[i=1..n] SUM[j=1..i] A092667(j).

Example

a(19) = 1 + 2 + 3 + 7 + 8 + 52 + 53 + 288 + 1209 + 5247 + 5248 + 71395 + 71396 + 375779 + 6957533 + 52310862 + 52310863 + 1152622553 + 1152622554.

Crossrefs

Cf. A038034, A092667.

Sequence in context: A329766 A019079 A280029 * A361276 A211870 A239987

Adjacent sequences: A178094 A178095 A178096 * A178098 A178099 A178100

Keyword

easy,nonn

Author

Jonathan Vos Post, May 20 2010

Status

approved