OFFSET
0,2
COMMENTS
Volume of a cube with side 4n. - Wesley Ivan Hurt, Jul 05 2014
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
From Vincenzo Librandi, Jul 05 2014: (Start)
G.f.: 64*x*(1 + 4*x + x^2)/(1 - x)^4.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. (End)
a(n) = 64*A000578(n). - Wesley Ivan Hurt, Jul 05 2014
From Elmo R. Oliveira, Oct 18 2025: (Start)
E.g.f.: 64*x*(1 + 3*x + x^2)*exp(x).
a(n) = A016743(2*n). (End)
MAPLE
MATHEMATICA
Table[64 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[64 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 05 2014 *)
PROG
(Magma) [64*n^3: n in [0..40]]; // Vincenzo Librandi, Jul 05 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved