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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A258597 a(n) = 13*3^n. 1
13, 39, 117, 351, 1053, 3159, 9477, 28431, 85293, 255879, 767637, 2302911, 6908733, 20726199, 62178597, 186535791, 559607373, 1678822119, 5036466357, 15109399071, 45328197213, 135984591639, 407953774917, 1223861324751, 3671583974253, 11014751922759 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also maximum leaf number of the (n+3)-Apollonian network for n >= 0. - Eric W. Weisstein, Jan 17 2018

LINKS

Table of n, a(n) for n=0..25.

Eric Weisstein's World of Mathematics, Apollonian Network

Eric Weisstein's World of Mathematics, Maximum Leaf Number

Index entries for linear recurrences with constant coefficients, signature (3).

FORMULA

G.f.: 13/(1-3*x).

a(n) = 3*a(n-1).

a(n) = 13* A000244(n).

MATHEMATICA

Table[13 3^n, {n, 0, 30}]

13 3^Range[0, 20] (* Eric W. Weisstein, Jan 17 2018 *)

LinearRecurrence[{3}, {13}, 20] (* Eric W. Weisstein, Jan 17 2018 *)

CoefficientList[Series[13/(1 - 3 x), {x, 0, 20}], x] (* Eric W. Weisstein, Jan 17 2018 *)

PROG

(MAGMA) [13*3^n: n in [0..30]];

CROSSREFS

Cf. k*3^n: A000244 (k=1,3,9), A008776 (k=2,6), A003946 (k=4), A005030 (k=5), A005032 (k=7), A005051 (k=8), A005052 (k=10), A120354 (k=11), A003946 (k=12), this sequence (k=13), A258598 (k=17), A176413 (k=19).

Sequence in context: A283123 A152741 A168235 * A299816 A041324 A220083

Adjacent sequences:  A258594 A258595 A258596 * A258598 A258599 A258600

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jun 05 2015

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 October 23 16:46 EDT 2019. Contains 328373 sequences. (Running on oeis4.)