id:A068716 - OEIS Search Results

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x^2 + 1 = n * y^2 has infinitely many solutions in integers (x,y).

+0
3

0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`1,1`
	REFERENCES	`H. Davenport, The Higher Arithmetic. Cambridge Univ. Press, 7th ed., 1999, table 1.`
	LINKS	`John Robertson, Solving x^2-dy^2=+-1.`
	FORMULA	`a(n)= 1 - (A067280(n) mod 2 ).`
	EXAMPLE	`a(2)= 1: xx + 1 = 2 yy is soluble, e.g. 77 + 1= 255.`
	CROSSREFS	`Cf. A068717, A067280, A006702, A006703.` `Sequence in context: A106701 A033684 A080885 this_sequence A129185 A129184 A118605` `Adjacent sequences: A068713 A068714 A068715 this_sequence A068717 A068718 A068719`
	KEYWORD	`nonn`
	AUTHOR	`Frank.Ellermann(AT)t-online.de, Feb 25 2002`
	EXTENSIONS	`More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 31 2003`

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

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