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

 

Logo

"Email this user" was broken Aug 14 to 9am Aug 16. If you sent someone a message in this period, please send it again.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098238 Number of ordered ways of writing n as sum of three primes. 10
0, 0, 0, 0, 0, 0, 1, 3, 3, 4, 6, 6, 9, 6, 6, 10, 9, 12, 12, 12, 12, 19, 12, 21, 15, 21, 18, 30, 15, 30, 12, 30, 18, 37, 12, 39, 21, 42, 24, 46, 9, 51, 18, 48, 24, 54, 18, 66, 21, 60, 30, 67, 24, 81, 18, 75, 30, 79, 18, 87, 21, 87, 36, 93, 15, 105, 30, 105, 36, 97, 12, 120, 30, 114, 36 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

T. D. Noe, Table of n, a(n) for n = 0..10000

P. Pollack, Analytic and Combinatorial Number Theory Course Notes, p. 213. [?Broken link]

P. Pollack, Analytic and Combinatorial Number Theory Course Notes, p. 213.

FORMULA

G.f.: (Sum_{k>0} x^prime(k))^3. - Vladeta Jovovic, Mar 12 2005

Third convolution of "a(n)=1 if n prime, 0 otherwise" (A010051) with itself. - Graeme McRae, Jul 18 2006

MAPLE

t1:=add(q^ithprime(n), n=1..1000): series(t1^3, q, 1001): seriestolist(%); - N. J. A. Sloane, Sep 29 2006

MATHEMATICA

nn = 74; a = Sum[x^p, {p, Prime[Range[nn]]}]; CoefficientList[Series[a^3, {x, 0, nn}], x] (* Geoffrey Critzer, Jan 25 2015 *)

CROSSREFS

Cf. A073610, A014612.

Cf. A068307

Sequence in context: A130481 A145805 A277192 * A088651 A161019 A137901

Adjacent sequences:  A098235 A098236 A098237 * A098239 A098240 A098241

KEYWORD

nonn

AUTHOR

Ralf Stephan, Aug 31 2004

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified August 19 01:47 EDT 2017. Contains 290790 sequences.