login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A005367 a(n) = 2*(2^n + 1)*(2^(n+1) - 1). 3
4, 18, 70, 270, 1054, 4158, 16510, 65790, 262654, 1049598, 4196350, 16781310, 67117054, 268451838, 1073774590, 4295032830, 17180000254, 68719738878, 274878431230, 1099512676350, 4398048608254, 17592190238718 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-14,8).

FORMULA

G.f.: 2*(2 - 5*x)/((1 - x)*(1 - 2*x)*(1 - 4*x)). - Ilya Gutkovskiy, Feb 24 2017

From G. C. Greubel, Oct 21 2017: (Start)

E.g.f.: 2*exp(x)*(2*exp(3*x) + exp(x) - 1).

a(n) = 7*a(n-1) - 14*a(n-2) + 8*a(n-3). (End)

MATHEMATICA

Table[2*(2^n + 1)*(2^(n + 1) - 1), {n, 0, 50}] (* G. C. Greubel, Oct 21 2017 *)

PROG

(PARI) for(n=0, 50, print1(2*(2^n + 1)*(2^(n + 1) - 1), ", ")) \\ G. C. Greubel, Oct 21 2017

(MAGMA) [2*(2^n + 1)*(2^(n + 1) - 1): n in [0..50]]; // G. C. Greubel, Oct 21 2017

CROSSREFS

Sequence in context: A246134 A115112 A171074 * A050184 A263582 A034352

Adjacent sequences:  A005364 A005365 A005366 * A005368 A005369 A005370

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

An incorrect g.f. was deleted by N. J. A. Sloane, Sep 20 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 21 11:36 EST 2019. Contains 320372 sequences. (Running on oeis4.)