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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

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Last modified May 27 15:22 EDT 2017. Contains 287207 sequences.