id:A050796 - OEIS Search Results

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Numbers n such that n^2 + 1 is expressible as the sum of two nonzero squares in at least one way (the trivial solution n^2+1 = n^2+1^2 does not count).

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	OFFSET	`1,2`
	COMMENT	`Analogous solutions exist for the sum of two identical squares z^2+1 = 2.r^2 (e.g. 41^2+1 = 2.29^2). Values of 'z' are the terms in sequence A002315, values of 'r' are the terms in sequence A001653.`
	LINKS	`Index entries for sequences related to sums of squares`
	EXAMPLE	`E.g. 57^2 + 1 = 15^2 + 55^2 = 21^2 + 53^2 = 35^2 + 45^2.`
	CROSSREFS	`Cf. A050795, A050798, A002315, A001653, A000129.` `Sequence in context: A117619 A098731 A105740 this_sequence A106630 A050798 A057484` `Adjacent sequences: A050793 A050794 A050795 this_sequence A050797 A050798 A050799`
	KEYWORD	`nonn`
	AUTHOR	`Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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