id:A083338 - OEIS Search Results

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Number of partitions of odd numbers into three primes and of even numbers into two primes.

+0
2

0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 4, 2, 3, 2, 5, 3, 5, 3, 5, 3, 7, 2, 7, 3, 6, 2, 9, 4, 8, 4, 9, 2, 10, 3, 11, 4, 10, 3, 12, 4, 13, 5, 12, 4, 15, 3, 16, 5, 14, 3, 17, 4, 16, 6, 16, 3, 19, 5, 21, 6, 20, 2, 20, 5, 22, 6, 21, 5, 22, 5, 28, 7, 24, 4, 25, 5, 29, 8, 27, 5, 29, 4, 33, 9, 29, 4 (list; graph; listen)

	OFFSET	`1,9`
	COMMENT	`a(n) = if n is even then A045917(n/2) else A054860((n-1)/2);` `a(n) > 0 for all n iff Goldbach's conjectures hold.`
	LINKS	`Eric Weisstein's World of Mathematics, Goldbach Conjecture.` `Index entries for sequences related to Goldbach conjecture`
	CROSSREFS	`Cf. A000607, A071335.` `Sequence in context: A008334 A116858 A106493 this_sequence A109037 A120965 A006371` `Adjacent sequences: A083335 A083336 A083337 this_sequence A083339 A083340 A083341`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Apr 24 2003`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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