A042160 Numerators of continued fraction convergents to sqrt(605).

24, 25, 49, 123, 1402, 1525, 13602, 15127, 179999, 375125, 555124, 930249, 45207076, 46137325, 91344401, 228826127, 2608431798, 2837257925, 25306495198, 28143753123, 334887779551, 697919312225, 1032807091776, 1730726404001, 84107674483824, 85838400887825

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, 0, 1860498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^23 -24*x^22 +25*x^21 -49*x^20 +123*x^19 -1402*x^18 +1525*x^17 -13602*x^16 +15127*x^15 -179999*x^14 +375125*x^13 -555124*x^12 -930249*x^11 -555124*x^10 -375125*x^9 -179999*x^8 -15127*x^7 -13602*x^6 -1525*x^5 -1402*x^4 -123*x^3 -49*x^2 -25*x -24) / ((x^4 -11*x^2 -1)*(x^4 +11*x^2 -1)*(x^8 -11*x^6 +122*x^4 +11*x^2 +1)*(x^8 +11*x^6 +122*x^4 -11*x^2 +1)). - Colin Barker, Dec 02 2013

Mathematica

Numerator[Convergents[Sqrt[605], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

Crossrefs

Cf. A042161, A040580.

Sequence in context: A042164 A042166 A042158 * A042156 A042154 A042152

Adjacent sequences: A042157 A042158 A042159 * A042161 A042162 A042163

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 02 2013

Status

approved