OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (20,-64).
FORMULA
a(n) = binomial(4^n, 2), n >= 0. - Zerinvary Lajos, Jan 07 2008
From R. J. Mathar, Mar 20 2009: (Start)
a(n) = 20*a(n-1) - 64*a(n-2).
G.f.: 6*x/((1-4*x)*(1-16*x)). (End)
a(n) = 6*A166984(n-1). - R. J. Mathar, Jun 23 2013
E.g.f.: exp(10*x)*sinh(6*x). - G. C. Greubel, Oct 02 2024
MAPLE
seq(binomial(4^n, 2), n=0..18); # Zerinvary Lajos, Jan 07 2008
MATHEMATICA
Table[4^n (4^n-1)/2, {n, 0, 30}] (* or *) LinearRecurrence[{20, -64}, {0, 6}, 30] (* Harvey P. Dale, Nov 05 2023 *)
PROG
(Magma) [4^n*(4^n-1)/2: n in [0..30]]; // Vincenzo Librandi, May 01 2011
(SageMath) [binomial(4^n, 2) for n in range(21)] # G. C. Greubel, Oct 02 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved