OFFSET
1,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..1000
FORMULA
a(n) = floor[1/{(4+n^3)^(1/3)}], where {}=fractional part.
a(n) = 2*a(n-1) - 2*a(n-3) + a(n-4).
From Colin Barker, Oct 07 2012: (Start)
Empirical: a(n) = 3*(1 - (-1)^n + 4*n + 2*n^2)/8 for n>2.
Empirical G.f.: x*(x^6-2*x^5+x^4-x^2-x-1)/((x-1)^3*(x+1)).(End)
MATHEMATICA
Table[Floor[1/FractionalPart[(n^3 + 4)^(1/3)]], {n, 1, 120}]
PROG
(PARI) for(n=1, 50, print1(floor(1/frac((4 + n^3)^(1/3))), ", ")) \\ G. C. Greubel, May 14 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 16 2011
STATUS
approved