id:A158628 - OEIS Search Results

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a(n)=44*n^2-1 (n>0)

+0
2

43, 175, 395, 703, 1099, 1583, 2155, 2815, 3563, 4399, 5323, 6335, 7435, 8623, 9899, 11263, 12715, 14255, 15883, 17599, 19403, 21295, 23275, 25343, 27499, 29743, 32075, 34495, 37003, 39599, 42283, 45055, 47915, 50863, 53899, 57023, 60235 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The identity (44n^2-1)^2 - (484n^2-22)(2n)^2 = 1 can be written in` `Pell-format as (a(n))^2 - A158627(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.: x(-43-46x+x^2)/(x-1)^3.`
	CROSSREFS	`Cf. A005843, A158627` `Sequence in context: A158604 A057816 A162295 this_sequence A123597 A138631 A142115` `Adjacent sequences: A158625 A158626 A158627 this_sequence A158629 A158630 A158631`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009`
	EXTENSIONS	`Comment rewritten, formula replaced by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 28 2009`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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