id:A098238 - OEIS Search Results

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Number of ordered ways of writing n as sum of three primes.

+0
4

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; listen)

	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.`
	FORMULA	`G.f.: (Sum_{k>0} x^prime(k))^3. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 12 2005` `Third convolution of "a(n)=1 if n prime, 0 otherwise" (A010051) with itself. - Graeme McRae (g_m(AT)mcraefamily.com), Jul 18 2006`
	MAPLE	`t1:=add(q^ithprime(n), n=1..1000): series(t1^3, q, 1001): seriestolist(%); - njas, Sep 29 2006`
	CROSSREFS	`Cf. A073610, A014612.` `Cf. A068307` `Adjacent sequences: A098235 A098236 A098237 this_sequence A098239 A098240 A098241` `Sequence in context: A011762 A092200 A130481 this_sequence A088651 A023837 A080013`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan, Aug 31 2004`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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