id:A158765 - OEIS Search Results

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a(n)=76*n^2-1.

+0
2

75, 303, 683, 1215, 1899, 2735, 3723, 4863, 6155, 7599, 9195, 10943, 12843, 14895, 17099, 19455, 21963, 24623, 27435, 30399, 33515, 36783, 40203, 43775, 47499, 51375, 55403, 59583, 63915, 68399, 73035, 77823, 82763, 87855, 93099, 98495 (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 (a(n))^2 - A158764(n) (A005843(n))^2 = 1.`
	LINKS	`Wolfram MathWorld, 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.: x(-75-78x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158764` `Sequence in context: A003503 A098230 A158742 this_sequence A055561 A015223 A129625` `Adjacent sequences: A158762 A158763 A158764 this_sequence A158766 A158767 A158768`
	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 November 25 20:09 EST 2009. Contains 167514 sequences.

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