OFFSET
0,1
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..20000
G. Xiao, Contfrac.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,1).
FORMULA
From Amiram Eldar, Nov 12 2023: (Start)
Multiplicative with a(2) = 1, a(2^e) = 10 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 9/4^s). (End)
From Elmo R. Oliveira, Aug 05 2024: (Start)
G.f.: (5 + x + x^2 + x^3 + 5*x^4)/((1 - x)*(1 + x + x^2 + x^3)).
a(n) = a(n-4), n > 4. (End)
EXAMPLE
5.65685424949238019520675489... = 5 + 1/(1 + 1/(1 + 1/(1 + 1/(10 + ...)))). - Harry J. Smith, Jun 04 2009
MATHEMATICA
ContinuedFraction[Sqrt[32], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2011 *)
PadRight[{5}, 100, {10, 1, 1, 1}] (* Harvey P. Dale, Aug 20 2014 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 16000); x=contfrac(sqrt(32)); for (n=0, 20000, write("b010130.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 04 2009
CROSSREFS
KEYWORD
nonn,cofr,easy,mult
AUTHOR
STATUS
approved