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Search: id:A093786
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| A093786 |
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Hook products of all partitions of 8. |
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+0
1
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| 448, 576, 576, 630, 630, 720, 720, 960, 1152, 1152, 1440, 1440, 1920, 1920, 2016, 2016, 2880, 2880, 5760, 5760, 40320, 40320
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n)=8!/A003872(n)
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MAPLE
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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(8)[q])), q=1..numbpart(8))]);
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CROSSREFS
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Cf. A003872.
Sequence in context: A139230 A065576 A062040 this_sequence A048632 A120104 A071104
Adjacent sequences: A093783 A093784 A093785 this_sequence A093787 A093788 A093789
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KEYWORD
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fini,full,nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), May 17 2004
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