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A036053
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Product of order of cycles of the permutation created by length sorting on the partitions of n.
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1
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1, 1, 1, 2, 4, 6, 10, 60, 288, 1044, 8526, 8930, 322560, 210540, 7296, 7001280, 6650138880, 353760000, 44528400, 6398154000, 74839427712000, 11993857920000, 52321920, 3728928000, 81060800163840, 1338148188, 91406407293961987500, 61965028873912320, 200407352308531200, 4156935025937400
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OFFSET
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1,4
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LINKS
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Table of n, a(n) for n=1..30.
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PROG
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(PARI)
OrderCycs(v)={my(t=vector(#v), L=List()); for(i=1, #v, my(c=0, j=i); while(!t[j], t[j]=1; j=v[j]; c++); if(c, listput(L, c))); Vec(L)}
a(n)={my(u=vecsort([Vecsmall(Vecrev(p)) | p<-partitions(n)])); my(v=vecsort(u, (x, y)->lex(#x, #y), 1+4)); vecprod(OrderCycs(v))} \\ Andrew Howroyd, Sep 17 2019
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CROSSREFS
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Cf. A036045-A036056.
Sequence in context: A085809 A073308 A058960 * A237816 A088906 A303752
Adjacent sequences: A036050 A036051 A036052 * A036054 A036055 A036056
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KEYWORD
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nonn
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AUTHOR
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Olivier Gérard
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EXTENSIONS
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a(27)-a(30) from Andrew Howroyd, Sep 17 2019
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STATUS
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approved
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