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A093791 Hook products of all partitions of 12. 0
62208, 82944, 82944, 85050, 85050, 107520, 107520, 115200, 115200, 129600, 129600, 134400, 134400, 136080, 136080, 155520, 155520, 161280, 161280, 179200, 179200, 181440, 201600, 201600, 226800, 226800, 228096, 230400, 230400, 248832 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n)=12!/A003876(n).

LINKS

Table of n, a(n) for n=1..30.

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(12)[q])), q=1..numbpart(12))]);

CROSSREFS

Cf. A003876.

Sequence in context: A214147 A203258 A089009 * A083488 A181114 A242620

Adjacent sequences:  A093788 A093789 A093790 * A093792 A093793 A093794

KEYWORD

fini,nonn

AUTHOR

Emeric Deutsch, May 17 2004

STATUS

approved

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Last modified December 5 16:34 EST 2021. Contains 349557 sequences. (Running on oeis4.)