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!)
A083225 a(n) = (7*8^n + (-8)^n)/8. 3
1, 6, 64, 384, 4096, 24576, 262144, 1572864, 16777216, 100663296, 1073741824, 6442450944, 68719476736, 412316860416, 4398046511104, 26388279066624, 281474976710656, 1688849860263936, 18014398509481984, 108086391056891904 (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 (0,64).

FORMULA

a(n) = (7*8^n + (-8)^n)/8.

G.f.: (1+6*x)/((1+8*x)*(1-8*x)).

E.g.f.: (7*exp(8*x) + exp(-8*x))/8.

a(n) = 64*a(n-2); a(0)=1, a(1)=6. - Harvey P. Dale, Apr 22 2012

MATHEMATICA

Table[(7*8^n+(-8)^n)/8, {n, 0, 20}] (* or *) LinearRecurrence[{0, 64}, {1, 6}, 20] (* Harvey P. Dale, Apr 22 2012 *)

PROG

(Magma) [(7*8^n+(-8)^n)/8: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

(PARI) a(n)= (7*8^n+(-8)^n)/8 \\ Charles R Greathouse IV, Jun 29 2011

CROSSREFS

Cf. A083224, A083226.

Sequence in context: A218383 A222596 A067447 * A320528 A237357 A230282

Adjacent sequences: A083222 A083223 A083224 * A083226 A083227 A083228

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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 31 05:03 EST 2023. Contains 359947 sequences. (Running on oeis4.)