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A041096 Numerators of continued fraction convergents to sqrt(56). 2
7, 15, 217, 449, 6503, 13455, 194873, 403201, 5839687, 12082575, 174995737, 362074049, 5244032423, 10850138895, 157145976953, 325142092801, 4709135276167, 9743412645135, 141116912308057, 291977237261249, 4228798233965543, 8749573705192335, 126722830106658233 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,30,0,-1).

FORMULA

G.f.: -(x+1)*(x^2-8*x-7) / (x^4-30*x^2+1). - Colin Barker, Nov 04 2013

MATHEMATICA

Numerator[Convergents[Sqrt[56], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A041097, A010509.

Sequence in context: A156499 A137881 A042725 * A248275 A007541 A087485

Adjacent sequences:  A041093 A041094 A041095 * A041097 A041098 A041099

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 04 2013

STATUS

approved

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Last modified June 15 22:06 EDT 2021. Contains 345053 sequences. (Running on oeis4.)