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A042478
Numerators of continued fraction convergents to sqrt(767).
2
27, 28, 83, 277, 360, 637, 997, 1634, 2631, 9527, 21685, 31212, 1707133, 1738345, 5183823, 17289814, 22473637, 39763451, 62237088, 102000539, 164237627, 594713420, 1353664467, 1948377887, 106566070365, 108514448252, 323594966869, 1079299348859, 1402894315728
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^23 -27*x^22 +28*x^21 -83*x^20 +277*x^19 -360*x^18 +637*x^17 -997*x^16 +1634*x^15 -2631*x^14 +9527*x^13 -21685*x^12 -31212*x^11 -21685*x^10 -9527*x^9 -2631*x^8 -1634*x^7 -997*x^6 -637*x^5 -360*x^4 -277*x^3 -83*x^2 -28*x -27) / (x^24 -62424*x^12 +1). - Colin Barker, Dec 15 2013
MATHEMATICA
Numerator[Convergents[Sqrt[767], 30]] (* Vincenzo Librandi, Nov 25 2013 *)
CROSSREFS
Sequence in context: A042482 A042484 A042480 * A042476 A045861 A042488
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 15 2013
STATUS
approved