id:A078909 - OEIS Search Results

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Let r+i*s be the sum, with multiplicity, of the first-quadrant Gaussian primes dividing n; sequence gives s values.

+0
6

0, 2, 0, 4, 3, 2, 0, 6, 0, 5, 0, 4, 5, 2, 3, 8, 5, 2, 0, 7, 0, 2, 0, 6, 6, 7, 0, 4, 7, 5, 0, 10, 0, 7, 3, 4, 7, 2, 5, 9, 9, 2, 0, 4, 3, 2, 0, 8, 0, 8, 5, 9, 9, 2, 3, 6, 0, 9, 0, 7, 11, 2, 0, 12, 8, 2, 0, 9, 0, 5, 0, 6, 11, 9, 6, 4, 0, 7, 0, 11, 0, 11, 0, 4, 8, 2, 7, 6, 13, 5, 5, 4, 0, 2, 3, 10, 13, 2, 0 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A Gaussian integer z = x+iy is in the first quadrant if x > 0, y >= 0. Just one of the 4 associates z, -z, iz, -iz is in the first quadrant.` `The sequence is fully additive.`
	LINKS	`Michael Somos, PARI program for finding prime decomposition of Gaussian integers` `Index entries for Gaussian integers and primes`
	EXAMPLE	`5 factors into the product of the primes 1+2i, 1-2i, but the first-quadrant associate of 1-2i is i(1-2i) = 2+i, so r+is = 1+2i + 2+i = 3+3i. Therefore a(5) = 3.`
	CROSSREFS	`Cf. A078458, A078908, A078910, A078911, A080088, A080089.` `Sequence in context: A068773 A133168 A145382 this_sequence A067458 A088330 A122512` `Adjacent sequences: A078906 A078907 A078908 this_sequence A078910 A078911 A078912`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Jan 11 2003`
	EXTENSIONS	`More terms and further information from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 27 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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