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A042762 Numerators of continued fraction convergents to sqrt(912). 2
30, 151, 9090, 45601, 2745150, 13771351, 829026210, 4158902401, 250363170270, 1255974753751, 75608848395330, 379300216730401, 22833621852219390, 114547409477827351, 6895678190521860450, 34592938362087129601, 2082471979915749636510, 10446952837940835312151 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
G.f.: (30 +151*x +30*x^2 -x^3)/(1 -302*x^2 +x^4). - Vincenzo Librandi, Dec 04 2013
a(n) = 302*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 04 2013
MATHEMATICA
Numerator[Convergents[Sqrt[912], 30]] (* or *) CoefficientList[Series[(30 + 151 x + 30 x^2 - x^3)/(1 - 302 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 04 2013 *)
PROG
(Magma) I:=[30, 151, 9090, 45601]; [n le 4 select I[n] else 302*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 04 2013
CROSSREFS
Cf. A042763.
Sequence in context: A342483 A206040 A042760 * A368718 A064240 A141221
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Dec 04 2013
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)