OFFSET
1,1
FORMULA
a(n) = 121^n+{(21367+9555*sqrt(5))/2}^n+{(21367-9555*sqrt(5))/2}^n+{(1617+715*sqrt(5))/2}^n+{(1617-715*sqrt(5))/2}^n.
a(n) = (x_1)^n+(x_2)^n+(x_3)^n+(x_4)^n+(x_5)^n where (x_i) (1<=i<=5) are the roots of X^5-23105*X^4+37360785*X^3-4520654985*X^2+40931916905*X-25937424601.
MAPLE
S:=proc(n, m) add(binomial(n, k)*combinat:-fibonacci(m*k), k=0..n) end: m:=5: seq(S(m*n, m)/S(n, m), n=1..16); # Georg Fischer, Jul 07 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Oct 22 2003
STATUS
approved