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A041008 Numerators of continued fraction convergents to sqrt(7). 1
2, 3, 5, 8, 37, 45, 82, 127, 590, 717, 1307, 2024, 9403, 11427, 20830, 32257, 149858, 182115, 331973, 514088, 2388325, 2902413, 5290738, 8193151, 38063342, 46256493, 84319835, 130576328, 606625147 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

FORMULA

G.f.: (2+3*x+5*x^2+8*x^3+5*x^4-3*x^5+2*x^6-x^7)/(1-16*x^4+x^8)

MATHEMATICA

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[7], n]]], {n, 1, 50}] (*From Vladimir Joseph Stephan Orlovsky, Mar 16 2011*)

CROSSREFS

Cf. A041009.

Sequence in context: A178355 A059359 A042069 * A041569 A128485 A042471

Adjacent sequences:  A041005 A041006 A041007 * A041009 A041010 A041011

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.