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 A098238 Number of ordered ways of writing n as sum of three primes. 19
 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 August 2 12:23 EDT 2021. Contains 346422 sequences. (Running on oeis4.)