A110287 a(n) = 17*2^n.

17, 34, 68, 136, 272, 544, 1088, 2176, 4352, 8704, 17408, 34816, 69632, 139264, 278528, 557056, 1114112, 2228224, 4456448, 8912896, 17825792, 35651584, 71303168, 142606336, 285212672, 570425344, 1140850688, 2281701376, 4563402752, 9126805504, 18253611008

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).

17 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), A003945 (m=1), A020714 (m=2), A005009 (m=3), A005010 (m=4), A005015 (m=5), A005029 (m=6), A110286 (m=7), this sequence (m=8), A110288 (m=9), A175805 (m=10), A248646 (m=11), A164161 (m=12), A175806 (m=13), A257548 (m=15).

Cf. A007283.

Programs

Magma

[17*2^n: n in [0..40]]; // Vincenzo Librandi, Apr 28 2011

Mathematica

17*2^Range[0, 60] (* Vladimir Joseph Stephan Orlovsky, Jun 09 2011 *)
NestList[2#&,17,30] (* Harvey P. Dale, Jul 21 2014 *)

PARI

a(n)=17*2^n \\ Charles R Greathouse IV, Oct 07 2015

SageMath

[17*2^n for n in range(51)] # G. C. Greubel, Jan 05 2023

Formula

G.f.: 17/(1-2*x). - Philippe Deléham, Nov 23 2008

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

a(n) = 2*a(n-1) (with a(0)=17). - Vincenzo Librandi, Dec 26 2010

a(n) = A173786(n+4, n) for n>3. - Reinhard Zumkeller, Feb 28 2010

E.g.f.: 17*exp(2*x). - G. C. Greubel, Jan 05 2023

Extensions

Edited by Omar E. Pol, Dec 16 2008