login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A083302 a(n) = (4*9^n + (-1)^n)/5. 2

%I

%S 1,7,65,583,5249,47239,425153,3826375,34437377,309936391,2789427521,

%T 25104847687,225943629185,2033492662663,18301433963969,

%U 164712905675719,1482416151081473,13341745359733255,120075708237599297

%N a(n) = (4*9^n + (-1)^n)/5.

%C Binomial transform of A083301.

%H Vincenzo Librandi, <a href="/A083302/b083302.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,9).

%F G.f.: (1-x)/((1-*9x)(1+x)).

%F E.g.f.: (4*exp(9*x) + exp(-x))/5.

%o (MAGMA) [(4*9^n+(-1)^n)/5: n in [0..25]]; // _Vincenzo Librandi_, Jun 29 2011

%o (PARI) a(n)=4*9^n\/5 \\ _Charles R Greathouse IV_, Jun 29 2011

%K easy,nonn

%O 0,2

%A _Paul Barry_, Apr 24 2003

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 December 5 05:32 EST 2021. Contains 349530 sequences. (Running on oeis4.)