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A093787 Hook products of all partitions of 9. 0
1680, 1680, 1920, 1920, 2160, 2160, 2240, 2240, 3024, 3024, 3456, 3456, 4320, 4320, 5184, 6480, 6480, 7560, 7560, 8640, 8640, 8640, 12960, 12960, 13440, 13440, 45360, 45360, 362880, 362880 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
a(n)=9!/A003873(n)
LINKS
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(9)[q])), q=1..numbpart(9))]);
CROSSREFS
Cf. A003873.
Sequence in context: A159625 A156425 A247853 * A258920 A268288 A175749
KEYWORD
fini,full,nonn
AUTHOR
Emeric Deutsch, May 17 2004
STATUS
approved

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Last modified July 21 18:17 EDT 2024. Contains 374475 sequences. (Running on oeis4.)