OFFSET
0,4
COMMENTS
A cubic Fibonacci sequence.
This is the cubic analog of the Fibonacci sequence analogously to A000283 being the quadratic analog of the Fibonacci sequence.
FORMULA
a(n) ~ b^3^n with b = 1.0275436477.... [Charles R Greathouse IV, Dec 28 2011]
EXAMPLE
a(3) = 1^3 + 1^3 = 2.
a(4) = 1^3 + 2^3 = 9.
a(5) = 2^3 + 9^3 = 737.
a(6) = 9^3 + 737^3 = 400316282.
MAPLE
a:= proc(n) a(n):= `if`(n<2, n, a(n-1)^3+a(n-2)^3) end:
seq(a(n), n=0..8); # Alois P. Heinz, Sep 02 2023
MATHEMATICA
RecurrenceTable[{a[1]==a[2]==1, a[n]==a[n-1]^3+a[n-2]^3}, a, {n, 10}] (* Harvey P. Dale, Aug 24 2014 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Jan 02 2006
EXTENSIONS
Name edited by Petros Hadjicostas, Nov 03 2019
a(0)=0 prepended by Alois P. Heinz, Sep 02 2023
STATUS
approved