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A041010 Numerators of continued fraction convergents to sqrt(8). +0
2
1, 2, 3, 14, 17, 82, 99, 478, 577, 2786, 3363, 16238, 19601, 94642, 114243, 551614, 665857, 3215042, 3880899, 18738638, 22619537, 109216786, 131836323, 636562078, 768398401, 3710155682, 4478554083, 21624372014, 26102926097 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = 6*a(n-2) - a(n-4). a(2n) = a(2n-1)+a(2n-2), a(2n+1)=4*a(2n)+a(2n-1).

G.f.: (1+2*x-3*x^2+2*x^3)/(1-6*x^2+x^4).

CROSSREFS

Cf. A041011. Also A001333(2n)=A041010(2n), A001333(2n+1)=A041010(2n+1)/2.

Sequence in context: A042367 A100341 A041869 this_sequence A041733 A107083 A081615

Adjacent sequences: A041007 A041008 A041009 this_sequence A041011 A041012 A041013

KEYWORD

nonn,cofr,easy

AUTHOR

njas

EXTENSIONS

Entry improved by Michael Somos

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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