A013713 a(n) = 8^(2n+1).

8, 512, 32768, 2097152, 134217728, 8589934592, 549755813888, 35184372088832, 2251799813685248, 144115188075855872, 9223372036854775808, 590295810358705651712, 37778931862957161709568, 2417851639229258349412352

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Additive digital root of a(n) = 8. - Miquel Cerda, Jul 03 2016

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..160
• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (64).

Crossrefs

Cf. A001018, A013734, A013735, A089357.

Programs

Magma

[8^(2*n+1): n in [0..20]]; // Vincenzo Librandi, May 25 2011

Mathematica

8^(2*Range[0,20]+1) (* or *) NestList[64#&,8,20] (* Harvey P. Dale, Feb 27 2013 *)

PARI

x='x+O('x^99); Vec(8/(1-64*x)) \\ Altug Alkan, Jul 09 2016

PARI

a(n)=8<<(3*n) \\ Charles R Greathouse IV, Jul 11 2016

Formula

a(n) = 64a(n-1), n>0. O.g.f.: 8/(1-64x). - R. J. Mathar, May 07 2008

a(n) = 8*A089357(n) = 2*A013734(n) = A013735(n)/2 . - Philippe Deléham, Nov 24 2008

From Ilya Gutkovskiy, Jul 03 2016: (Start)

E.g.f.: 8*exp(64*x).

a(n) = A001018(A005408(n)). (End)