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A041515 Denominators of continued fraction convergents to sqrt(274). 2
1, 1, 2, 9, 38, 47, 85, 2767, 2852, 5619, 25328, 106931, 132259, 239190, 7786339, 8025529, 15811868, 71273001, 300903872, 372176873, 673080745, 21910760713, 22583841458, 44494602171, 200562250142, 846743602739, 1047305852881, 1894049455620, 61656888432721 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,2814,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^12 -x^11 +2*x^10 -9*x^9 +38*x^8 -47*x^7 +85*x^6 +47*x^5 +38*x^4 +9*x^3 +2*x^2 +x +1) / (x^14 +2814*x^7 -1). - Colin Barker, Nov 18 2013

a(n) = 2814*a(n-7) + a(n-14) for n>13. - Vincenzo Librandi, Dec 19 2013

MATHEMATICA

Denominator[Convergents[Sqrt[274], 30]] (* Vincenzo Librandi, Dec 19 2013 *)

PROG

(MAGMA) I:=[1, 1, 2, 9, 38, 47, 85, 2767, 2852, 5619, 25328, 106931, 132259, 239190]; [n le 14 select I[n] else 2814*Self(n-7)+Self(n-14): n in [1..30]]; // Vincenzo Librandi, Dec 19 2013

CROSSREFS

Cf. A041514, A040257.

Sequence in context: A241454 A139102 A195187 * A010750 A026591 A007224

Adjacent sequences:  A041512 A041513 A041514 * A041516 A041517 A041518

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 18 2013

STATUS

approved

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Last modified August 18 16:13 EDT 2018. Contains 313833 sequences. (Running on oeis4.)