OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,0,0,34,0,0,0,-1).
FORMULA
G.f.: (1+x+2*x^2+3*x^3-2*x^4+x^5-x^6)/(1-34*x^4+x^8). [Colin Barker, Mar 13 2012]
a(0)=1, a(1)=1, a(2)=2, a(3)=3, a(4)=32, a(5)=35, a(6)=67, a(7)=102, a(n)=34*a(n-4)-a(n-8). - Harvey P. Dale, Jun 15 2015
MATHEMATICA
Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[32], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)
Denominator[Convergents[Sqrt[32], 30]] (* or *) LinearRecurrence[{0, 0, 0, 34, 0, 0, 0, -1}, {1, 1, 2, 3, 32, 35, 67, 102}, 30] (* Harvey P. Dale, Jun 15 2015 *)
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved