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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A071539 Number of n-tuples of elements e_1,e_2,...,e_n in the symmetric group S_3 such that the subgroup generated by e_1,e_2,...,e_n is S_3. 1
0, 18, 168, 1170, 7440, 45738, 277368, 1672290, 10056480, 60404058, 362613768, 2176238610, 13059075120, 78359331978, 470170537368, 2821066664130, 16926529911360, 101559568461498, 609358576176168, 3656154950132850, 21936940173733200, 131621672448624618, 789730128885258168 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..23.

Index entries for linear recurrences with constant coefficients, signature (12,-47,72,-36)

FORMULA

a(n) = 6^n - 3*2^n - 3^n + 3.

G.f.: 6*x^2*(3 - 8*x) / (1 - 12*x + 47*x^2 - 72*x^3 + 36*x^4). [Corrected by Georg Fischer, May 15 2019]

MATHEMATICA

LinearRecurrence[{12, -47, 72, -36}, {0, 18, 168, 1170, 7440}, 23] (* Georg Fischer, May 15 2019 *)

PROG

(PARI) a(n) = 6^n - 3*2^n - 3^n + 3; \\ Michel Marcus, Oct 31 2017

CROSSREFS

Sequence in context: A055915 A208827 A327792 * A125381 A126539 A213802

Adjacent sequences:  A071536 A071537 A071538 * A071540 A071541 A071542

KEYWORD

nonn,easy

AUTHOR

Sharon Sela (sharonsela(AT)hotmail.com), Jun 02 2002

EXTENSIONS

More terms from Michel Marcus, Oct 31 2017

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 May 31 16:29 EDT 2020. Contains 334748 sequences. (Running on oeis4.)