OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
FORMULA
G.f.: 8*(1 + 121*x + 235*x^2 + 27*x^3)/(x-1)^4. - R. J. Mathar, Jul 14 2016
From Amiram Eldar, Apr 24 2023: (Start)
a(n) = A017089(n)^3.
a(n) = 2^3*A016815(n).
Sum_{n>=0} 1/a(n) = Pi^3/512 + 7*zeta(3)/128. (End)
MATHEMATICA
(8*Range[0, 30]+2)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {8, 1000, 5832, 17576}, 30] (* Harvey P. Dale, Dec 30 2019 *)
PROG
(Magma) [(8*n+2)^3: n in [0..35]]; // Vincenzo Librandi, Jul 12 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved