A042766 Numerators of continued fraction convergents to sqrt(914).

30, 121, 393, 1300, 5593, 336880, 1353113, 4396219, 14541770, 62563299, 3768339710, 15135922139, 49176106127, 162664240520, 699833068207, 42152648332940, 169310426399967, 550083927532841, 1819562208998490, 7828332763526801, 471519528020606550

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, 11186, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-30*x^8+121*x^7-393*x^6+1300*x^5+5593*x^4+1300*x^3+393*x^2+121*x+30) / (x^10+11186*x^5-1). - Colin Barker, Dec 23 2013

Mathematica

Numerator[Convergents[Sqrt[914], 30]] (* Vincenzo Librandi, Dec 04 2013 *)
LinearRecurrence[{0, 0, 0, 0, 11186, 0, 0, 0, 0, 1}, {30, 121, 393, 1300, 5593, 336880, 1353113, 4396219, 14541770, 62563299}, 30] (* Harvey P. Dale, Jun 14 2020 *)

Crossrefs

Cf. A042767, A040883.

Sequence in context: A277451 A042764 A219223 * A042768 A122137 A003901

Adjacent sequences: A042763 A042764 A042765 * A042767 A042768 A042769

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved