id:A158639 - OEIS Search Results

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a(n)=26*(26*n^2-1).

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650, 2678, 6058, 10790, 16874, 24310, 33098, 43238, 54730, 67574, 81770, 97318, 114218, 132470, 152074, 173030, 195338, 218998, 244010, 270374, 298090, 327158, 357578, 389350, 422474, 456950, 492778, 529958, 568490, 608374, 649610, 692198 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The identity (52n^2-1)^2 - (676n^2-26) * (2n)^2 = 1 can be written as` `the Pell equation (A158640(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.: 26x(-25-28*x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A158640, A005843` `Sequence in context: A154358 A114047 A157915 this_sequence A162025 A035851 A110836` `Adjacent sequences: A158636 A158637 A158638 this_sequence A158640 A158641 A158642`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009`
	EXTENSIONS	`Comment rephrased and redundant formula replaced by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 19 2009`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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