A042260 Numerators of continued fraction convergents to sqrt(656).

25, 26, 51, 77, 128, 333, 461, 794, 1255, 2049, 103705, 105754, 209459, 315213, 524672, 1364557, 1889229, 3253786, 5143015, 8396801, 424983065, 433379866, 858362931, 1291742797, 2150105728, 5591954253, 7742059981, 13334014234, 21076074215, 34410088449

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,4098,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -25*x^18 +26*x^17 -51*x^16 +77*x^15 -128*x^14 +333*x^13 -461*x^12 +794*x^11 -1255*x^10 -2049*x^9 -1255*x^8 -794*x^7 -461*x^6 -333*x^5 -128*x^4 -77*x^3 -51*x^2 -26*x -25) / ((x^10 -64*x^5 -1)*(x^10 +64*x^5 -1)). - Colin Barker, Dec 06 2013

Mathematica

Numerator[Convergents[Sqrt[656], 30]] (* Harvey P. Dale, May 22 2013 *)

Crossrefs

Cf. A042261, A040630.

Sequence in context: A045567 A141278 A022395 * A042262 A042264 A274063

Adjacent sequences: A042257 A042258 A042259 * A042261 A042262 A042263

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 06 2013

Status

approved