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

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A083223 (5*6^n+(-6)^n)/6. 3
1, 4, 36, 144, 1296, 5184, 46656, 186624, 1679616, 6718464, 60466176, 241864704, 2176782336, 8707129344, 78364164096, 313456656384, 2821109907456, 11284439629824, 101559956668416, 406239826673664, 3656158440062976 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (0,36).

FORMULA

a(n) = (5*6^n+(-6)^n)/6.

G.f.: (1+4*x)/((1+6*x)*(1-6*x)).

E.g.f. (5*exp(6*x)+exp(-6*x))/6.

MATHEMATICA

CoefficientList[Series[(1+4x)/((1+6x)(1-6x)), {x, 0, 50}], x]  (* Harvey P. Dale, Mar 01 2011 *)

PROG

(MAGMA) [(5*6^n+(-6)^n)/6: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

CROSSREFS

Cf. A083222, A083224.

Sequence in context: A035287 A183354 A204504 * A102263 A103931 A068589

Adjacent sequences:  A083220 A083221 A083222 * A083224 A083225 A083226

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 23 2003

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 December 13 23:26 EST 2018. Contains 318087 sequences. (Running on oeis4.)