id:A158774 - OEIS Search Results

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a(n) = 80*n^2-1.

+0
2

79, 319, 719, 1279, 1999, 2879, 3919, 5119, 6479, 7999, 9679, 11519, 13519, 15679, 17999, 20479, 23119, 25919, 28879, 31999, 35279, 38719, 42319, 46079, 49999, 54079, 58319, 62719, 67279, 71999, 76879, 81919, 87119, 92479, 97999, 103679 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The sequence satisfies the Pell equation (a(n))^2- A158773(n)*(A005843(n))^2=1.`
	LINKS	`Edward Everett Withford, Pell Equation` `Wolfram MathWorld, Pell Equation` `Vincenzo Librandi, X^2-AY^2=1`
	FORMULA	`a(n)=3a(n-1)-3a(n-2)+a(n-3). G.f.: x(-79-82x+x^2)/(x-1)^3. [R. J. Mathar, Jul 26 2009]`
	CROSSREFS	`Cf. A005843, A158773` `Sequence in context: A142932 A082077 A158769 this_sequence A157507 A142897 A142330` `Adjacent sequences: A158771 A158772 A158773 this_sequence A158775 A158776 A158777`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 26 2009`
	EXTENSIONS	`Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 26 2009`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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