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 A093458 Partial products of A073846. 1
 1, 2, 8, 24, 144, 720, 5760, 40320, 362880, 3991680, 39916800, 518918400, 6227020800, 105859353600, 1482030950400, 28158588057600, 422378820864000, 9714712879872000, 155435406077952000, 4507626776260608000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n-2) is the number of elements in the largest conjugacy class of A_n, the alternating group on n letters. Cf. A059171. [Geoffrey Critzer, Mar 26 2013] LINKS Table of n, a(n) for n=0..19. FORMULA a(n) = prime(1) * composite(1) * prime(2) * composite(2) * ... * prime(n/2) * composite(n/2) if n is even else a(n) = prime(1) * composite(1) * prime(2) * composite(2) * ... * prime((n+1)/2). a(0) = 1. MATHEMATICA g[list_]:=Total[list]! / Apply[Times, list] / Apply[Times, Table[Count[list, n]!, {n, 1, 20}]]; f[list_]:=Apply[Plus, Table[Count[list, n], {n, 2, 20, 2}]]; Drop[Table[Max[Map[g, Select[Partitions[n], EvenQ[f[#]]&]]], {n, 1, 20}]] (* Geoffrey Critzer, Mar 26 2013 *) CROSSREFS Cf. A073846, A093459. Sequence in context: A087982 A176475 A145238 * A242456 A353779 A088994 Adjacent sequences: A093455 A093456 A093457 * A093459 A093460 A093461 KEYWORD less,nonn AUTHOR Amarnath Murthy, Apr 03 2004 EXTENSIONS More terms from David Wasserman, Sep 28 2006 STATUS approved

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Last modified May 18 23:43 EDT 2024. Contains 372666 sequences. (Running on oeis4.)