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A041040 Numerators of continued fraction convergents to sqrt(26). 4
5, 51, 515, 5201, 52525, 530451, 5357035, 54100801, 546365045, 5517751251, 55723877555, 562756526801, 5683289145565, 57395647982451, 579639768970075, 5853793337683201, 59117573145802085, 597029524795704051 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Tanya Khovanova, Recursive Sequences
FORMULA
From Philippe Deléham, Nov 20 2008: (Start)
a(n) = 10*a(n-1) + a(n-2), a(0)=5, a(1)=51.
G.f.: (5+x)/(1-10*x-x^2). (End)
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[26], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)
CoefficientList[Series[(5 + x)/(1 - 10 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi_, Oct 28 2013 *)
CROSSREFS
Sequence in context: A195211 A106415 A212819 * A088320 A223002 A370172
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved

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Last modified August 29 03:06 EDT 2024. Contains 375510 sequences. (Running on oeis4.)