id:A158775 - OEIS Search Results

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a(n) = 1600*n^2+40.

+0
2

1640, 6440, 14440, 25640, 40040, 57640, 78440, 102440, 129640, 160040, 193640, 230440, 270440, 313640, 360040, 409640, 462440, 518440, 577640, 640040, 705640, 774440, 846440, 921640, 1000040, 1081640, 1166440, 1254440, 1345640, 1440040 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The sequence satisfies the Pell equation (A158776(n))^2- a(n)*(A005843(n))^2=1.`
	LINKS	`Edward Everett Withford, Pell Equation` `Vincenzo Librandi, X^2-AY^2=1` `Wolfram MathWorld, Pell Equation`
	FORMULA	`a(n)=3a(n-1)-3a(n-2)+a(n-3). G.f.: -40x(41+38*x+x^2)/(x-1)^3. [R. J. Mathar, Jul 26 2009]`
	CROSSREFS	`Cf. A005843, A158776` `Sequence in context: A072409 A052455 A054808 this_sequence A043464 A002434 A146300` `Adjacent sequences: A158772 A158773 A158774 this_sequence A158776 A158777 A158778`
	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 15 00:47 EST 2009. Contains 170825 sequences.

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