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A041948 Numerators of continued fraction convergents to sqrt(497). 2
22, 67, 156, 379, 2051, 12685, 65476, 143637, 352750, 1201887, 53235778, 160909221, 375054220, 911017661, 4930142525, 30491872811, 157389506580, 345270885971, 847931278522, 2889064721537, 127966779026150, 386789401799987, 901545582626124, 2189880567052235 (list; graph; refs; listen; history; text; internal format)
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, 0, 0, 0, 0, 0, 0, 2403774, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -22*x^18 +67*x^17 -156*x^16 +379*x^15 -2051*x^14 +12685*x^13 -65476*x^12 +143637*x^11 -352750*x^10 -1201887*x^9 -352750*x^8 -143637*x^7 -65476*x^6 -12685*x^5 -2051*x^4 -379*x^3 -156*x^2 -67*x -22) / (x^20 -2403774*x^10 +1). - Colin Barker, Nov 27 2013

MATHEMATICA

Numerator[Convergents[Sqrt[497], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

CROSSREFS

Cf. A041949, A040474.

Sequence in context: A164136 A041946 A303858 * A002757 A041950 A114636

Adjacent sequences:  A041945 A041946 A041947 * A041949 A041950 A041951

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 27 2013

STATUS

approved

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Last modified August 14 13:57 EDT 2020. Contains 336481 sequences. (Running on oeis4.)