A041052 - OEIS

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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

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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