id:A158744 - OEIS Search Results

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a(n)=74*n^2-1.

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73, 295, 665, 1183, 1849, 2663, 3625, 4735, 5993, 7399, 8953, 10655, 12505, 14503, 16649, 18943, 21385, 23975, 26713, 29599, 32633, 35815, 39145, 42623, 46249, 50023, 53945, 58015, 62233, 66599, 71113, 75775, 80585, 85543, 90649, 95903 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The identity (74n^2-1)^2 - (1369n^2-37) * (2n)^2 = 1 can be written as` `the Pell equation (a(n))^2 - A158743(n) (A005843(n))^2 = 1.`
	LINKS	`Wolfram MathWorld, Pell Equation` `Vincenzo Librandi, X^2-AY^2=1` `Edward Everett Withford, Pell Equation`
	CROSSREFS	`Cf. A005843, A158743` `Sequence in context: A140857 A158740 A142614 this_sequence A142406 A005108 A142810` `Adjacent sequences: A158741 A158742 A158743 this_sequence A158745 A158746 A158747`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 25 2009`
	EXTENSIONS	`a(n)= 3a(n-1) -3a(n-2) +a(n-3). G.f.: x(-73-76x+x^2)/(x-1)^3.` `Comment rewritten and formula replaced by R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 22 2009`

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

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