id:A087818 - OEIS Search Results

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Consider numbers x = 4n + 1 which are of the form x = y^2 + z^2 with y <= z; sequence gives smallest value of y.

+0
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1, 1, 3, 2, 1, 3, 2, 1, 4, 3, 7, 2, 5, 1, 3, 9, 2, 5, 4, 1, 3, 7, 6, 11, 2, 4, 1, 7, 3, 6, 5, 2, 9, 4, 7, 1, 3, 5, 9, 2, 8, 4, 7, 1, 6, 3, 10, 9, 5, 8, 2, 4, 12, 11, 1, 3, 9, 5, 8, 19, 2, 12, 7, 4, 10, 6, 1, 9, 3, 14, 5, 12, 21, 2, 7, 4, 10, 6, 9, 1, 3, 8, 5, 11, 23, 2, 10, 4, 15, 14, 6, 13, 1, 3, 8, 5, 11 (list; graph; listen)

	OFFSET	`1,3`
	EXAMPLE	`x=45, y=3, z=6. 45-9 = 36 = 6^2`
	PROGRAM	`(PARI) fourkp1(n) = { forstep(x=1, n, 4, for(y=1, floor(sqrt(x)), z=x-y^2; if(issquare(z), print1(y" "); break; ) ) ) }`
	CROSSREFS	`Cf. A087819.` `Sequence in context: A130784 A119910 A138034 this_sequence A112746 A107460 A152975` `Adjacent sequences: A087815 A087816 A087817 this_sequence A087819 A087820 A087821`
	KEYWORD	`nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Oct 06 2003`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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