A041322 Numerators of continued fraction convergents to sqrt(175).

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

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