id:A083043 - OEIS Search Results

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Integers y such that 11x^2-9y^2=2 for some integer x.

+0
5

1, 21, 419, 8359, 166761, 3326861, 66370459, 1324082319, 26415275921, 526981436101, 10513213446099, 209737287485879, 4184232536271481, 83474913437943741, 1665314036222603339, 33222805811014123039 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`Index entries for two-way infinite sequences` `Index entries for sequences related to linear recurrences with constant coefficients` `Tanya Khovanova, Recursive Sequences`
	FORMULA	`G.f.: (1+x)/(1-20x+x^2). a(n)=20a(n-1)-a(n-2). a(-1-n)=-a(n).`
	PROGRAM	`(PARI) a(n)=subst(poltchebi(n+1)-poltchebi(n), x, 10)/9`
	CROSSREFS	`11*A075839(n)^2-9a(n)^2=2.` `Sequence in context: A014903 A020534 A106656 this_sequence A097833 A064108 A067895` `Adjacent sequences: A083040 A083041 A083042 this_sequence A083044 A083045 A083046`
	KEYWORD	`easy,nonn`
	AUTHOR	`Michael Somos, Apr 17 2003`
	EXTENSIONS	`Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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