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A041410 Numerators of continued fraction convergents to sqrt(220). 2
14, 15, 74, 89, 2566, 2655, 13186, 15841, 456734, 472575, 2347034, 2819609, 81296086, 84115695, 417758866, 501874561, 14470246574, 14972121135, 74358731114, 89330852249, 2575622594086, 2664953446335 (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 (0,0,0,178,0,0,0,-1).

FORMULA

a(n) = 178*a(n-4)-a(n-8). G.f.: -(x^7-14*x^6+15*x^5-74*x^4-89*x^3-74*x^2-15*x-14)/(x^8-178*x^4+1). [Colin Barker, Jul 16 2012]

MATHEMATICA

Numerator/@Convergents[Sqrt[220], 25] (* Harvey P. Dale, May 15 2011 *)

CROSSREFS

Cf. A041411.

Sequence in context: A174924 A041408 A041406 * A041412 A041414 A033050

Adjacent sequences:  A041407 A041408 A041409 * A041411 A041412 A041413

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 26 17:16 EDT 2020. Contains 334630 sequences. (Running on oeis4.)