A041096 Numerators of continued fraction convergents to sqrt(56).

7, 15, 217, 449, 6503, 13455, 194873, 403201, 5839687, 12082575, 174995737, 362074049, 5244032423, 10850138895, 157145976953, 325142092801, 4709135276167, 9743412645135, 141116912308057, 291977237261249, 4228798233965543, 8749573705192335, 126722830106658233

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