id:A158743 - OEIS Search Results

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a(n)=37*(37*n^2-1).

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1332, 5439, 12284, 21867, 34188, 49247, 67044, 87579, 110852, 136863, 165612, 197099, 231324, 268287, 307988, 350427, 395604, 443519, 494172, 547563, 603692, 662559, 724164, 788507, 855588, 925407, 997964, 1073259, 1151292, 1232063 (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 (A158744(n))^2 - a(n) (A005843(n))^2 = 1.`
	LINKS	`Wolfram MathWorld, Pell Equation` `Edward Everett Withford, Pell Equation` `Vincenzo Librandi, X^2-AY^2=1`
	FORMULA	`a(n)= 3a(n-1) -3a(n-2) +a(n-3). G.f.: 37x(-36-39*x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158744` `Sequence in context: A052072 A050646 A044882 this_sequence A035862 A003907 A043613` `Adjacent sequences: A158740 A158741 A158742 this_sequence A158744 A158745 A158746`
	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 November 25 20:09 EST 2009. Contains 167514 sequences.

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