OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
FORMULA
Sum_{n>=0} 1/a(n) = -Pi^3/(36*sqrt(3)) + 91*zeta(3)/216. - Amiram Eldar, Oct 02 2020
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Wesley Ivan Hurt, Oct 02 2020
a(n) = (125+831*x+339*x^2+x^3)/(-1+x)^4. - Wesley Ivan Hurt, Oct 02 2020
EXAMPLE
a(0) = (6*0 + 5)^3 = 5^3 = 125.
MATHEMATICA
Table[(6*n + 5)^3, {n, 0, 25}] (* Amiram Eldar, Oct 02 2020 *)
PROG
(Magma) [(6*n+5)^3: n in [0..40]]; // Vincenzo Librandi, May 07 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved