id:A158683 - OEIS Search Results

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a(n)=32*(32*n^2-1).

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992, 4064, 9184, 16352, 25568, 36832, 50144, 65504, 82912, 102368, 123872, 147424, 173024, 200672, 230368, 262112, 295904, 331744, 369632, 409568, 451552, 495584, 541664, 589792, 639968, 692192, 746464, 802784, 861152, 921568, 984032, 1048544 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The identity (64n^2-1)^2 - (1024n^2-32) * (2n)^2 = 1 can be written as` `the Pell equation (A158684(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.: 32x(-31-34*x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158684` `Sequence in context: A093177 A161926 A109149 this_sequence A030645 A010463 A035857` `Adjacent sequences: A158680 A158681 A158682 this_sequence A158684 A158685 A158686`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 24 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 11 12:57 EST 2009. Contains 170656 sequences.

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