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!)
A167477 Expansion of (1-3x+5x^2-x^3)/(1-3x+x^2)^2. 2

%I #13 Jun 14 2016 11:49:50

%S 1,3,12,44,149,479,1487,4503,13386,39226,113641,326173,928957,2628459,

%T 7395624,20708264,57739517,160391483,444068171,1225831551,3374848806,

%U 9268963318,25401364177,69472849849,189661024249,516904018899

%N Expansion of (1-3x+5x^2-x^3)/(1-3x+x^2)^2.

%C Hankel transform of A033297 (when this starts 1,1,4,...).

%H G. C. Greubel, <a href="/A167477/b167477.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 (6,-11,6,-1).

%F a(n) = 4*A001871(n-1) - A001871(n) + A001519(n+2). - _R. J. Mathar_, Jun 28 2011

%t LinearRecurrence[{6, -11, 6, -1}, {1, 3, 12, 44}, 100] (* _G. C. Greubel_, Jun 13 2016 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Nov 04 2009

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 6 00:30 EDT 2024. Contains 373110 sequences. (Running on oeis4.)