A041342 - OEIS

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A041342

Numerators of continued fraction convergents to sqrt(185).

13, 14, 27, 41, 68, 1809, 1877, 3686, 5563, 9249, 246037, 255286, 501323, 756609, 1257932, 33462841, 34720773, 68183614, 102904387, 171088001, 4551192413, 4722280414, 9273472827, 13995753241, 23269226068, 618995631009, 642264857077, 1261260488086

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OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,136,0,0,0,0,1).

FORMULA

G.f.: -(x^9-13*x^8+14*x^7-27*x^6+41*x^5+68*x^4+41*x^3+27*x^2+14*x+13) / (x^10+136*x^5-1). - Colin Barker, Nov 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[185], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

LinearRecurrence[{0, 0, 0, 0, 136, 0, 0, 0, 0, 1}, {13, 14, 27, 41, 68, 1809, 1877, 3686, 5563, 9249}, 30] (* Harvey P. Dale, Aug 04 2024 *)

CROSSREFS