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A041186 Numerators of continued fraction convergents to sqrt(104). 2
10, 51, 1030, 5201, 105050, 530451, 10714070, 54100801, 1092730090, 5517751251, 111447755110, 562756526801, 11366578291130, 57395647982451, 1159279537940150, 5853793337683201, 118235146291604170, 597029524795704051, 12058825642205685190 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi and Bruno Berselli, Table of n, a(n) for n = 0..100 (first 81 terms from Vincenzo Librandi).

Index entries for linear recurrences with constant coefficients, signature (0,102,0,-1).

FORMULA

G.f.: (10 + 51*x + 10*x^2 - x^3) / (1 - 102*x^2 + x^4). [Bruno Berselli, Oct 30 2013]

a(n) = 102*a(n-2) - a(n-4). [Bruno Berselli, Oct 30 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[104], 30]] (* Vincenzo Librandi, Oct 30 2013 *)

RecurrenceTable[{a[0] == 10, a[1] == 51, a[2] == 1030, a[3] == 5201, a[n] == 102 a[n - 2] - a[n - 4]}, a, {n, 0, 20}] (* Bruno Berselli, Oct 30 2013 *)

LinearRecurrence[{0, 102, 0, -1}, {10, 51, 1030, 5201}, 20] (* Harvey P. Dale, Apr 01 2015 *)

CROSSREFS

Cf. A041187.

Sequence in context: A224327 A219573 A135242 * A058827 A232909 A028994

Adjacent sequences:  A041183 A041184 A041185 * A041187 A041188 A041189

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 12 10:58 EDT 2021. Contains 344947 sequences. (Running on oeis4.)