A042060 Numerators of continued fraction convergents to sqrt(554).

23, 24, 47, 306, 1271, 1577, 2848, 12969, 80662, 93631, 174293, 8111109, 8285402, 16396511, 106664468, 443054383, 549718851, 992773234, 4520811787, 28117643956, 32638455743, 60756099699, 2827419041897, 2888175141596, 5715594183493, 37181740242554

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,348586,0,0,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x^21 -23*x^20 +24*x^19 -47*x^18 +306*x^17 -1271*x^16 +1577*x^15 -2848*x^14 +12969*x^13 -80662*x^12 +93631*x^11 +174293*x^10 +93631*x^9 +80662*x^8 +12969*x^7 +2848*x^6 +1577*x^5 +1271*x^4 +306*x^3 +47*x^2 +24*x +23) / (x^22 +348586*x^11 -1). - Colin Barker, Nov 30 2013

a(n) = 348586*a(n-11) + a(n-22). - Wesley Ivan Hurt, Sep 05 2022

Mathematica

Numerator[Convergents[Sqrt[554], 30]] (* Vincenzo Librandi, Nov 14 2013 *)

Crossrefs

Cf. A042061, A040530.

Sequence in context: A042072 A042064 A042062 * A042058 A045859 A042078

Adjacent sequences: A042057 A042058 A042059 * A042061 A042062 A042063

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 30 2013

Status

approved