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!)
A173489 Partial sums of A000140. 0
1, 2, 4, 10, 32, 133, 706, 4542, 33770, 284519, 2694100, 28292286, 324935676, 4052477864, 793359552994, 793359552994, 12294933375782, 202713354823112, 3547535843321377, 65667058958304601, 1280634899889213903 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

After 2, the next prime is a(41) = 305549535052620874099715701517119130422273792081.

LINKS

Table of n, a(n) for n=1..21.

FORMULA

a(n) = SUM[i=1..n] A000140(i).

EXAMPLE

a(21) = 1 + 1 + 2 + 6 + 22 + 101 + 573 + 3836 + 29228 + 250749 + 2409581 + 25598186 + 296643390 + 3727542188 + 50626553988 + 738680521142 + 11501573822788 + 190418421447330 + 3344822488498265 + 62119523114983224 + 1214967840930909302.

MATHEMATICA

f[n_] := Max@ CoefficientList[ Expand@ Product[ Sum[x^i, {i, 0, j}], {j, n - 1}], x]; Accumulate@ Array[f, 21]

CROSSREFS

Cf. A000140, A008302.

Sequence in context: A054091 A056593 A154219 * A089476 A220028 A006397

Adjacent sequences:  A173486 A173487 A173488 * A173490 A173491 A173492

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Feb 19 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 November 27 15:41 EST 2014. Contains 250224 sequences.