A013734 -id:A013734 - cp's OEIS frontend

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

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

Offset: 0

N. J. A. Sloane

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

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).

Cf. A001018, A013734, A013735, A089357.

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

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

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

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

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)

A013732 a(n) = 3^(3*n + 1).

Original entry on oeis.org

3, 81, 2187, 59049, 1594323, 43046721, 1162261467, 31381059609, 847288609443, 22876792454961, 617673396283947, 16677181699666569, 450283905890997363, 12157665459056928801, 328256967394537077627, 8862938119652501095929

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (27).

Cf. A013730, A013733, A013734.

[3^(3*n+1): n in [0..25]]; // Vincenzo Librandi, May 25 2011

seq(3^(3*n+1),n=0..15); # Nathaniel Johnston, Jun 26 2011

NestList[27#&,3,20] (* Harvey P. Dale, Apr 01 2018 *)

a(n)=3^(3*n+1) \\ Charles R Greathouse IV, Jul 11 2016

From Philippe Deléham, Nov 25 2008: (Start)
a(n) = 27*a(n-1); a(0)=3.
G.f.: 3/(1-27*x). (End)

A013735 a(n) = 4^(3*n+2).

Original entry on oeis.org

16, 1024, 65536, 4194304, 268435456, 17179869184, 1099511627776, 70368744177664, 4503599627370496, 288230376151711744, 18446744073709551616, 1180591620717411303424, 75557863725914323419136, 4835703278458516698824704

Offset: 0

N. J. A. Sloane

Additive digital root of a(n) = 7. - Miquel Cerda, Jul 03 2016

Vincenzo Librandi, Table of n, a(n) for n = 0..100
Tanya Khovanova, Recursive Sequences
Index to divisibility sequences
Index entries for linear recurrences with constant coefficients, signature (64).

Cf. A089357, A013734, A013713. - Philippe Deléham, Nov 24 2008

[4^(3*n+2): n in [0..50]]; // Vincenzo Librandi, Apr 25 2011

seq(4^(3*n+2),n=0..13); # Nathaniel Johnston, Jun 26 2011

lst={};Do[AppendTo[lst,4^(3*n+2)],{n,0,4!}];lst (* Vladimir Joseph Stephan Orlovsky, Mar 02 2009 *)
NestList[64#&,16,20] (* Harvey P. Dale, Nov 04 2017 *)

16<<(6*n) \\ Charles R Greathouse IV, Jan 19 2012

G.f.: 16/(1-64*x). - Philippe Deléham, Nov 24 2008
From Ilya Gutkovskiy, Jul 03 2016: (Start)
E.g.f.: 16*exp(64*x).
a(n) = A000302(A016789(n)). (End)
a(n) = 64*a(n-1). - Miquel Cerda, Oct 28 2016

cp's OEIS Frontend

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

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A013732 a(n) = 3^(3*n + 1).

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A013735 a(n) = 4^(3*n+2).

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