OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,8010,0,0,0,0,0,0,0,0,1).
FORMULA
G.f.: -(x^17 -10*x^16 +31*x^15 -72*x^14 +103*x^13 -175*x^12 +278*x^11 -453*x^10 +1184*x^9 +4005*x^8 +1184*x^7 +453*x^6 +278*x^5 +175*x^4 +103*x^3 +72*x^2 +31*x +10) / (x^18 +8010*x^9 -1). - Colin Barker, Nov 08 2013
MATHEMATICA
Numerator[Convergents[Sqrt[106], 30]] (* Vincenzo Librandi, Oct 30 2013 *)
PROG
(Python)
from sympy import sqrt
from sympy.ntheory.continued_fraction import *
def aupton(terms):
g = continued_fraction_convergents(continued_fraction_iterator(sqrt(106)))
return [next(g).numerator() for n in range(terms)]
print(aupton(28)) # Michael S. Branicky, Oct 31 2021
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 08 2013
STATUS
approved