id:A158562 - OEIS Search Results

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a(n)=16*(16*n^2-1).

+0
2

240, 1008, 2288, 4080, 6384, 9200, 12528, 16368, 20720, 25584, 30960, 36848, 43248, 50160, 57584, 65520, 73968, 82928, 92400, 102384, 112880, 123888, 135408, 147440, 159984, 173040, 186608, 200688, 215280, 230384, 246000, 262128, 278768, 295920 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The identity (32n^2-1)^2 - (256n^2-16) * (2n)^2 = 1 can be written` `in Pell-type form as (A158563(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.: 16x(-15-18*x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158563` `Sequence in context: A060663 A092000 A124352 this_sequence A157766 A049335 A004009` `Adjacent sequences: A158559 A158560 A158561 this_sequence A158563 A158564 A158565`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 21 2009`
	EXTENSIONS	`Comment rewritten - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 16 2009`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

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