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URL: https://oeis.org/A041186

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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
OFFSET
0,1
LINKS
Vincenzo Librandi and Bruno Berselli, Table of n, a(n) for n = 0..100 (first 81 terms from Vincenzo Librandi).
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: A219573 A135242 A362673 * A058827 A232909 A028994
KEYWORD
nonn,cofr,frac,easy
STATUS
approved