A042352 Numerators of continued fraction convergents to sqrt(703).

26, 27, 53, 928, 4693, 5621, 32798, 563187, 595985, 1159172, 60872929, 62032101, 122905030, 2151417611, 10879993085, 13031410696, 76037046565, 1305661202301, 1381698248866, 2687359451167, 141124389709550, 143811749160717, 284936138870267, 4987726109955256

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, 2318344, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -26*x^18 +27*x^17 -53*x^16 +928*x^15 -4693*x^14 +5621*x^13 -32798*x^12 +563187*x^11 -595985*x^10 -1159172*x^9 -595985*x^8 -563187*x^7 -32798*x^6 -5621*x^5 -4693*x^4 -928*x^3 -53*x^2 -27*x -26) / (x^20 -2318344*x^10 +1). - Colin Barker, Dec 09 2013

Mathematica

Numerator[Convergents[Sqrt[703], 30]] (* Vincenzo Librandi, Nov 22 2013 *)

Crossrefs

Cf. A042353, A040676.

Sequence in context: A042358 A042356 A042354 * A304007 A305357 A042374

Adjacent sequences: A042349 A042350 A042351 * A042353 A042354 A042355

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved