A041052 Numerators of continued fraction convergents to sqrt(32).

5, 6, 11, 17, 181, 198, 379, 577, 6149, 6726, 12875, 19601, 208885, 228486, 437371, 665857, 7095941, 7761798, 14857739, 22619537, 241053109, 263672646, 504725755, 768398401, 8188709765, 8957108166, 17145817931, 26102926097, 278175078901, 304278004998

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,34,0,0,0,-1).

Formula

G.f.: (5+6*x+11*x^2+17*x^3+11*x^4-6*x^5+5*x^6-x^7)/(1-34*x^4+x^8). - Colin Barker, Jan 03 2012

Mathematica

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[32], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011 *)
Numerator[Convergents[Sqrt[32], 30]] (* Vincenzo Librandi, Oct 23 2013 *)

Crossrefs

Cf. A010487, A041053.

Sequence in context: A041373 A041533 A042881 * A236387 A344555 A039918

Adjacent sequences: A041049 A041050 A041051 * A041053 A041054 A041055

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Status

approved