A042792 Numerators of continued fraction convergents to sqrt(927).

30, 61, 274, 1431, 4567, 24266, 101631, 227528, 13753311, 27734150, 124689911, 651183705, 2078241026, 11042388835, 46247796366, 103537981567, 6258526690386, 12620591362339, 56740892139742, 296325052061049, 945716048322889, 5024905293675494, 21045337223024865

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, 455056, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -30*x^14 +61*x^13 -274*x^12 +1431*x^11 -4567*x^10 +24266*x^9 -101631*x^8 -227528*x^7 -101631*x^6 -24266*x^5 -4567*x^4 -1431*x^3 -274*x^2 -61*x -30) / (x^16 -455056*x^8 +1). - Colin Barker, Dec 23 2013

Maple

convert(sqrt(927), confrac, 30, cvgts): numer(cvgts); # Wesley Ivan Hurt, Dec 23 2013

Mathematica

Numerator[Convergents[Sqrt[927], 30]] (* Harvey P. Dale, May 31 2013 *)

Crossrefs

Cf. A042793, A040896.

Sequence in context: A042780 A042788 A042790 * A042794 A042796 A042798

Adjacent sequences: A042789 A042790 A042791 * A042793 A042794 A042795

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved