OFFSET
0,7
LINKS
Clark Kimberling, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1, 2, -1, -2, 2, 1, -3, -1, 3, 0, -2, 1, 2, -1, -1)
FORMULA
G.f.: -((x (1 + x) (-1 + x + x^2 - x^4 + x^5 - x^7 + x^9 - x^10 + x^12))/((-1 + x) (-1 + x + x^2)(1 + x + x^2 + x^3 + x^4) (1 - x^2 + x^4 - x^6 + x^8))).
a(n) = a(n-1) + 2 a(n-2) - a(n-3) - 2 a(n-4) + 2 a(n-5) + a(n-6) - 3 a(n-7) - a(n-8) + 3 a(n-9) - 2 a(n-11) + a(n-12) + 2 a(n-13) - a(n-14) - a(n-15) for n >= 16.
a(n) = ceiling(Fibonacci(n)/5).
a(n) = A004698(n) + 1 for n > 0.
MATHEMATICA
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Oct 14 2017
STATUS
approved