OFFSET
0,6
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..5000
FORMULA
From R. J. Mathar, Feb 20 2011: (Start)
a(n) = +a(n-2) +a(n-5) -a(n-7) +a(n-10) -a(n-12) -a(n-15) +a(n-17).
G.f.: -x^5*(2+3*x+x^2+x^3+x^4+4*x^5+3*x^6+x^7+x^8+x^9+x^10+x^11) / ( (x^4-x^3+x^2-x+1) *(1+x)^2 *(x^4+x^3+x^2+x+1)^2 *(x-1)^3 ). (End)
Sum_{n>=5} (-1)^(n+1)/a(n) = sqrt(5*(5-2*sqrt(5)))*Pi/8 - (5/8)*(1 + sqrt(5)*log(phi)) + (25/16)*log(5) - 2*log(2), where phi is the golden ratio (A001622). - Amiram Eldar, Mar 30 2023
MATHEMATICA
Table[Floor[n/2]*Floor[n/5], {n, 0, 50}] (* G. C. Greubel, Aug 30 2017 *)
PROG
(PARI) for(n=0, 50, print1(floor(n/2)*floor(n/5), ", ")) \\ G. C. Greubel, Aug 30 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Jul 25 2005
STATUS
approved