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!)
A093458 Partial products of A073846. 1

%I #20 Jan 10 2024 04:57:48

%S 1,2,8,24,144,720,5760,40320,362880,3991680,39916800,518918400,

%T 6227020800,105859353600,1482030950400,28158588057600,422378820864000,

%U 9714712879872000,155435406077952000,4507626776260608000

%N Partial products of A073846.

%C 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]

%F 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.

%t g[list_]:=Total[list]! / Apply[Times,list] / Apply[Times,Table[Count[list,n]!,{n,1,20}]];

%t f[list_]:=Apply[Plus,Table[Count[list,n],{n,2,20,2}]];

%t Drop[Table[Max[Map[g,Select[Partitions[n],EvenQ[f[#]]&]]],{n,1,20}]]

%t (* _Geoffrey Critzer_, Mar 26 2013 *)

%Y Cf. A073846, A093459.

%K less,nonn

%O 0,2

%A _Amarnath Murthy_, Apr 03 2004

%E More terms from _David Wasserman_, Sep 28 2006

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 March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)