id:A158643 - OEIS Search Results

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

+0
2

26, 702, 2730, 6110, 10842, 16926, 24362, 33150, 43290, 54782, 67626, 81822, 97370, 114270, 132522, 152126, 173082, 195390, 219050, 244062, 270426, 298142, 327210, 357630, 389402, 422526, 457002, 492830, 530010, 568542, 608426, 649662, 692250 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`The identity (52n^2+1)^2 - (676n^2+26) * (2n)^2 = 1 can be written as` `the Pell equation (A158644(n))^2 - a(n) (A005843(n))^2 =1.`
	LINKS	`Philippe Chevanne, Pell Equation` `Vincenzo Librandi, X^2-AY^2=1` `Edward Everett Withford, Pell Equation`
	FORMULA	`a(n)= 3a(n-1) -3a(n-2) +a(n-3). G.f.: -26(1+24x+27*x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158644` `Sequence in context: A041313 A042302 A097835 this_sequence A094738 A143900 A091742` `Adjacent sequences: A158640 A158641 A158642 this_sequence A158644 A158645 A158646`
	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 December 10 12:37 EST 2009. Contains 170569 sequences.

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