The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A138380 First differences of A138377. 3

%I #18 Mar 08 2023 12:09:30

%S 1,2,-1,-2,-4,-8,4,8,16,32,-16,-32,-64,-128,64,128,256,512,-256,-512,

%T -1024,-2048,1024,2048,4096,8192,-4096,-8192,-16384,-32768,16384,

%U 32768,65536,131072,-65536,-131072,-262144,-524288,262144,524288,1048576,2097152

%N First differences of A138377.

%C All terms are powers of 2 (see comment in A138377). - _Michel Marcus_, Dec 01 2015

%H Colin Barker, <a href="/A138380/b138380.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,-4).

%F From _Colin Barker_, Dec 01 2015: (Start)

%F a(n) = -4*a(n-4) for n>3.

%F G.f.: (1-x)*(1+x)*(1+2*x) / ((1-2*x+2*x^2)*(1+2*x+2*x^2)).

%F (End)

%t Differences[LinearRecurrence[{0,0,0,-4},{0,1,3,2},60]] (* _Harvey P. Dale_, Mar 19 2012 *)

%t LinearRecurrence[{0, 0, 0, -4},{1, 2, -1, -2},59] (* _Ray Chandler_, Aug 03 2015 *)

%o (PARI) Vec((1-x)*(1+x)*(1+2*x)/((1-2*x+2*x^2)*(1+2*x+2*x^2)) + O(x^100)) \\ _Colin Barker_, Dec 01 2015

%Y Cf. A138377.

%K sign,easy

%O 0,2

%A _Paul Curtz_, May 08 2008

%E More terms from _Harvey P. Dale_, Mar 19 2012

%E Missing terms added by _Colin Barker_, Dec 01 2015

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 4 15:24 EDT 2024. Contains 373099 sequences. (Running on oeis4.)