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A041037
Denominators of continued fraction convergents to sqrt(23).
2
1, 1, 4, 5, 44, 49, 191, 240, 2111, 2351, 9164, 11515, 101284, 112799, 439681, 552480, 4859521, 5412001, 21095524, 26507525, 233155724, 259663249, 1012145471, 1271808720, 11186615231, 12458423951
OFFSET
0,3
FORMULA
G.f.: (1+x+4*x^2+5*x^3-4*x^4+x^5-x^6)/(1-48*x^4+x^8). [Colin Barker, Jan 03 2012]
MATHEMATICA
Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[23], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 17 2011 *)
Denominator[Convergents[Sqrt[23], 30]] (* or *) LinearRecurrence[ {0, 0, 0, 48, 0, 0, 0, -1}, {1, 1, 4, 5, 44, 49, 191, 240}, 30] (* Harvey P. Dale, Jun 22 2021 *)
CROSSREFS
Sequence in context: A270129 A271293 A256290 * A041038 A239860 A151486
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved