id:A158764 - OEIS Search Results

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a(n)=38*(38*n^2-1).

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1406, 5738, 12958, 23066, 36062, 51946, 70718, 92378, 116926, 144362, 174686, 207898, 243998, 282986, 324862, 369626, 417278, 467818, 521246, 577562, 636766, 698858, 763838, 831706, 902462, 976106, 1052638, 1132058, 1214366, 1299562 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The identity (76n^2-1)^2 - (1444n^2-38) * (2n)^2 = 1 can be written as` `the Pell equation (A158765(n))^2 - a(n) (A005843(n))^2 = 1.`
	LINKS	`Wolfram MathWorld, Pell Equation` `Vincenzo Librandi, X^2-AY^2=1` `Philippe Chevanne, Pell Equation`
	FORMULA	`a(n)= 3a(n-1) -3a(n-2) +a(n-3). G.f.: 38x(-37-40*x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158765` `Sequence in context: A065214 A022058 A107522 this_sequence A035863 A045127 A143192` `Adjacent sequences: A158761 A158762 A158763 this_sequence A158765 A158766 A158767`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 26 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 3 22:15 EST 2009. Contains 170310 sequences.

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