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A041840
Numerators of continued fraction convergents to sqrt(442).
3
21, 883, 37107, 1559377, 65530941, 2753858899, 115727604699, 4863313256257, 204374884367493, 8588608456690963, 360925930065387939, 15167477671202984401, 637394988120590732781, 26785756978736013761203
OFFSET
0,1
FORMULA
G.f.: (21+x)/(1-42*x-x^2). [Philippe Deléham, Nov 23 2008]
a(n) = 42*a(n-1)+a(n-2) for n>1, a(0)=21, a(1)=883. [Philippe Deléham, Nov 23 2008]
MATHEMATICA
Numerator[Convergents[Sqrt[442], 30]] (* or *) LinearRecurrence[{42, 1}, {21, 883}, 30] (* Harvey P. Dale, Nov 20 2012 *)
CoefficientList[Series[(21 + x)/(1 - 42 x - x^2), {x, 0, 25}], x] (* Vincenzo Librandi, Nov 10 2013 *)
CROSSREFS
Cf. A041841.
Sequence in context: A204196 A238653 A041843 * A012793 A015305 A101732
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved