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a(n) is half of the even member of {x,y}, where x^2+y^2 is the n-th prime of the form 4i+1.
(Formerly M0135)

+0
3

1, 1, 2, 1, 3, 2, 1, 3, 4, 4, 2, 5, 5, 4, 2, 5, 3, 1, 5, 6, 7, 1, 4, 2, 8, 5, 7, 8, 1, 6, 7, 8, 9, 4, 9, 5, 3, 10, 10, 7, 6, 10, 2, 5, 11, 10, 5, 7, 10, 12, 4, 12, 9, 8, 2, 11, 3, 6, 13, 13, 11, 1, 13, 10, 6, 11, 13, 14, 7, 5, 9, 2, 3, 8, 10, 12, 5, 14, 2, 3, 14, 11, 15, 16, 16, 5, 15, 1, 8, 11 (list; graph; listen)

	OFFSET	`1,3`
	REFERENCES	`E. Kogbetliantz and A. Krikorian, Handbook of First Complex Prime Numbers, Gordon and Breach, NY, 1971, p. 243.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000` `S. R. Finch, Powers of Euler's q-Series, (arXiv:math.NT/0701251).`
	EXAMPLE	`The 3rd prime of the form 4i+1 is 17=1^2+4^2, so a(3)=4/2=2.`
	CROSSREFS	`Cf. A002144, A002972.` `Sequence in context: A115624 A076291 A124458 this_sequence A071476 A071499 A039953` `Adjacent sequences: A002970 A002971 A002972 this_sequence A002974 A002975 A002976`
	KEYWORD	`nonn`
	AUTHOR	`njas`
	EXTENSIONS	`Better description from Jud McCranie (j.mccranie(AT)comcast.net), Mar 05 2003`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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