A110288 a(n) = 19*2^n.

19, 38, 76, 152, 304, 608, 1216, 2432, 4864, 9728, 19456, 38912, 77824, 155648, 311296, 622592, 1245184, 2490368, 4980736, 9961472, 19922944, 39845888, 79691776, 159383552, 318767104, 637534208, 1275068416, 2550136832, 5100273664, 10200547328, 20401094656

Offset: 0

Author

Alexandre Wajnberg, Sep 07 2005

Keywords

• easy
• nonn

Comments

The first differences are the sequence itself. Doubling the terms gives the same sequence (beginning one step further).

19 times powers of 2. - Omar E. Pol, Dec 17 2008

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..235
• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (2).

Crossrefs

Sequences of the form (2*m+1)*2^n: A000079 (m=0), A007283 (m=1), A020714 (m=2), A005009 (m=3), A005010 (m=4), A005015 (m=5), A005029 (m=6), A110286 (m=7), A110287 (m=8), this sequence (m=9), A175805 (m=10), A248646 (m=11), A164161 (m=12), A175806 (m=13), A257548 (m=15).

Programs

Magma

[19*2^n: n in [0..40]]; // Vincenzo Librandi, Apr 28 2011

Mathematica

19*2^Range[0, 60] (* Vladimir Joseph Stephan Orlovsky, Jun 09 2011 *)
NestList[2#&,19,30] (* Harvey P. Dale, May 11 2018 *)

SageMath

[19*2^n for n in range(41)] # G. C. Greubel, Jan 04 2023

Formula

G.f.: 19/(1-2*x). - Philippe Deléham, Nov 23 2008

a(n) = A000079(n)*19. - Omar E. Pol, Dec 17 2008

E.g.f.: 19*exp(2*x). - G. C. Greubel, Jan 04 2023

Extensions

Edited by Omar E. Pol, Dec 16 2008