A002066 a(n) = 10*4^n.

10, 40, 160, 640, 2560, 10240, 40960, 163840, 655360, 2621440, 10485760, 41943040, 167772160, 671088640, 2684354560, 10737418240, 42949672960, 171798691840, 687194767360, 2748779069440, 10995116277760, 43980465111040, 175921860444160, 703687441776640, 2814749767106560

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..500
• Tanya Khovanova, Recursive Sequences.
• Index entries for linear recurrences with constant coefficients, signature (4).

Crossrefs

Pairwise sums of A081294.

Cf. A000079, A003947, A004171, A020714.

Programs

Magma

[10*4^n: n in [0..30]]; // Vincenzo Librandi, May 19 2011

Mathematica

10*4^Range[0, 100] (* Vladimir Joseph Stephan Orlovsky, Jun 09 2011 *)

PARI

a(n)=10*4^n \\ Charles R Greathouse IV, Apr 18 2012

Formula

From Philippe Deléham, Nov 23 2008: (Start)

a(n) = 4*a(n-1), n > 0; a(0)=10.

G.f.: 10/(1-4*x). (End)

From Elmo R. Oliveira, Apr 02 2025: (Start)

E.g.f.: 10*exp(4*x).

a(n) = 5*A004171(n) = 2*A003947(n+1) = A020714(n)*A000079(n+1). (End)