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A178097 Partial sums of A038034. 0
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 (list; graph; refs; listen; history; text; internal format)
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: A047172 A034734 A019079 * A211870 A239987 A048134

Adjacent sequences:  A178094 A178095 A178096 * A178098 A178099 A178100

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, May 20 2010

STATUS

approved

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Last modified December 10 23:13 EST 2016. Contains 279021 sequences.