id:A046921 - OEIS Search Results

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Number of ways to express 2n+1 as p+2a^2; p = 1 or prime, a >= 0.

+0
5

1, 2, 2, 2, 2, 2, 3, 2, 1, 4, 3, 2, 3, 1, 2, 4, 2, 2, 4, 3, 2, 3, 3, 2, 4, 3, 2, 5, 1, 2, 6, 3, 1, 3, 4, 2, 5, 4, 2, 6, 3, 2, 4, 2, 3, 6, 2, 1, 4, 3, 4, 6, 4, 2, 6, 5, 2, 6, 3, 2, 5, 1, 2, 3, 5, 4, 5, 4, 1, 8, 4, 1, 6, 3, 2, 6, 2, 2, 6, 6, 1, 4, 5, 3, 7, 4, 3, 6, 2, 3, 10, 2, 3, 4, 4, 3, 3, 4, 2 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Goldbach conjectured this sequence is never zero.` `The only zero terms appear to be for the odd numbers 5777 and 5993. - T. D. Noe, Aug 23 2008`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..10000` `L. Hodges, A lesser-known Goldbach conjecture, Math. Mag., 66 (1993), 45-47.` `Index entries for sequences related to Goldbach conjecture`
	CROSSREFS	`Cf. A042978, A046920, A046922, A046923, A060003, A143539.` `Sequence in context: A139514 A068323 A054990 this_sequence A161966 A078178 A105068` `Adjacent sequences: A046918 A046919 A046920 this_sequence A046922 A046923 A046924`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net)`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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