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A041322 Numerators of continued fraction convergents to sqrt(175). 2
13, 53, 119, 172, 463, 2024, 53087, 214372, 481831, 696203, 1874237, 8193151, 214896163, 867777803, 1950451769, 2818229572, 7586910913, 33165873224, 869899614737, 3512764332172, 7895428279081, 11408192611253, 30711813501587, 134255446617601, 3521353425559213 (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 (0,0,0,0,0,4048,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -13*x^10 +53*x^9 -119*x^8 +172*x^7 -463*x^6 -2024*x^5 -463*x^4 -172*x^3 -119*x^2 -53*x -13) / ((x^4 -16*x^2 +1)*(x^8 +16*x^6 +255*x^4 +16*x^2 +1)). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator/@Convergents[Sqrt[175], 30] (* Harvey P. Dale, Jun 25 2011 *)

CROSSREFS

Cf. A041323.

Sequence in context: A214523 A087880 A228872 * A022284 A179549 A139974

Adjacent sequences:  A041319 A041320 A041321 * A041323 A041324 A041325

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Nov 06 2013

STATUS

approved

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Last modified May 26 02:56 EDT 2020. Contains 334613 sequences. (Running on oeis4.)