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A041020
Numerators of continued fraction convergents to sqrt(14).
3
3, 4, 11, 15, 101, 116, 333, 449, 3027, 3476, 9979, 13455, 90709, 104164, 299037, 403201, 2718243, 3121444, 8961131, 12082575, 81456581, 93539156, 268534893, 362074049, 2440979187, 2803053236, 8047085659
OFFSET
0,1
FORMULA
G.f.: (3+4*x+11*x^2+15*x^3+11*x^4-4*x^5+3*x^6-x^7)/(1-30*x^4+x^8). [Colin Barker, Jan 03 2012]
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[14], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 17 2011*)
CROSSREFS
Sequence in context: A042327 A046114 A116654 * A041527 A290493 A266384
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved