id:A158729 - OEIS Search Results

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a(n)=34*(34*n^2-1).

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1122, 4590, 10370, 18462, 28866, 41582, 56610, 73950, 93602, 115566, 139842, 166430, 195330, 226542, 260066, 295902, 334050, 374510, 417282, 462366, 509762, 559470, 611490, 665822, 722466, 781422, 842690, 906270, 972162, 1040366 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The identity (68n^2-1)^2 - (1156n^2-34) * (2n)^2 = 1 can be written as` `the Pell equation (A158730(n))^2 - a(n) (A005843(n))^2 = 1.`
	LINKS	`Vincenzo Librandi, X^2-AY^2=1` `Edward Everett Withford, Pell Equation` `Wolfram MathWorld, Pell Equation`
	FORMULA	`a(n)= 3a(n-1) -3a(n-2) +a(n-3). G.f.: 34x(-33-36*x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158730` `Sequence in context: A028464 A122052 A157444 this_sequence A035859 A105310 A125840` `Adjacent sequences: A158726 A158727 A158728 this_sequence A158730 A158731 A158732`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 25 2009`
	EXTENSIONS	`Comment rewritten and formula replaced by R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 22 2009`

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.

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