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 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 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

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Last modified March 30 21:40 EDT 2023. Contains 361623 sequences. (Running on oeis4.)