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A041268 Numerators of continued fraction convergents to sqrt(147). 2
12, 97, 2340, 18817, 453948, 3650401, 88063572, 708158977, 17083879020, 137379191137, 3314184466308, 26650854921601, 642934702584732, 5170128475599457, 124726018116971700, 1002978273411373057, 24196204579989925068, 194572614913330773601 (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, 194, 0, -1).

FORMULA

G.f.: -(x^3-12*x^2-97*x-12) / ((x^2-14*x+1)*(x^2+14*x+1)). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[147], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

CROSSREFS

Cf. A041269.

Sequence in context: A270496 A128594 A166793 * A216028 A238755 A159449

Adjacent sequences:  A041265 A041266 A041267 * A041269 A041270 A041271

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 June 25 10:28 EDT 2021. Contains 345453 sequences. (Running on oeis4.)