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A041052
Numerators of continued fraction convergents to sqrt(32).
3
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
OFFSET
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
Sequence in context: A041373 A041533 A042881 * A236387 A344555 A039918
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved