login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 21 18:52 EST 2014. Contains 252325 sequences.