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A042170 Numerators of continued fraction convergents to sqrt(610). 2
24, 25, 74, 247, 1309, 6792, 21685, 50162, 71847, 3498818, 3570665, 10640148, 35491109, 188095693, 975969574, 3116004415, 7207978404, 10323982819, 502759153716, 513083136535, 1528925426786, 5099859416893, 27028222511251, 140240971973148, 447751138430695 (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 (0,0,0,0,0,0,0,0,143694,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^17 -24*x^16 +25*x^15 -74*x^14 +247*x^13 -1309*x^12 +6792*x^11 -21685*x^10 +50162*x^9 +71847*x^8 +50162*x^7 +21685*x^6 +6792*x^5 +1309*x^4 +247*x^3 +74*x^2 +25*x +24) / (x^18 +143694*x^9 -1). - Colin Barker, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[610], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

CROSSREFS

Cf. A042171, A040585.

Sequence in context: A042152 A042172 A042174 * A042168 A042178 A042180

Adjacent sequences:  A042167 A042168 A042169 * A042171 A042172 A042173

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 03 2013

STATUS

approved

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Last modified October 5 11:53 EDT 2022. Contains 357255 sequences. (Running on oeis4.)