A093790 Hook products of all partitions of 11.

17280, 17280, 25920, 25920, 30240, 30240, 32400, 32400, 33600, 34560, 34560, 36288, 36288, 40320, 40320, 40320, 40320, 43200, 43200, 48384, 48384, 57600, 57600, 60480, 60480, 67200, 67200, 72576, 72576, 86400, 86400, 103680, 103680, 120960, 120960, 158400, 172800, 172800, 190080, 190080, 241920, 241920, 302400, 302400, 332640, 332640, 362880, 362880, 887040, 887040, 907200, 907200, 3991680, 3991680, 39916800, 39916800

Offset

1,1

Comments

a(n)=11!/A003875(n). All 56 terms of this finite sequence are shown.

Links

Table of n, a(n) for n=1..56.

Maple

H:=proc(pa) local F, j, p, Q, i, col, a, A: F:=proc(x) local i, ct: ct:=0: for i from 1 to nops(x) do if x[i]>1 then ct:=ct+1 else fi od: ct; end: for j from 1 to nops(pa) do p[1][j]:=pa[j] od: Q[1]:=[seq(p[1][j], j=1..nops(pa))]: for i from 2 to pa[1] do for j from 1 to F(Q[i-1]) do p[i][j]:=Q[i-1][j]-1 od: Q[i]:=[seq(p[i][j], j=1..F(Q[i-1]))] od: for i from 1 to pa[1] do col[i]:=[seq(Q[i][j]+nops(Q[i])-j, j=1..nops(Q[i]))] od: a:=proc(i, j) if i<=nops(Q[j]) and j<=pa[1] then Q[j][i]+nops(Q[j])-i else 1 fi end: A:=matrix(nops(pa), pa[1], a): product(product(A[m, n], n=1..pa[1]), m=1..nops(pa)); end: with(combinat): rev:=proc(a) [seq(a[nops(a)+1-i], i=1..nops(a))] end: sort([seq(H(rev(partition(11)[q])), q=1..numbpart(11))]);

Crossrefs

Cf. A003875.

Sequence in context: A236447 A094413 A209967 * A229683 A228379 A230164

Adjacent sequences: A093787 A093788 A093789 * A093791 A093792 A093793

Keyword

fini,full,nonn

Author

Emeric Deutsch, May 17 2004

Status

approved