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A060538
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Square array read by antidiagonals of number of ways of dividing nk labeled items into n labeled boxes with k items in each box.
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5
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1, 1, 2, 1, 6, 6, 1, 20, 90, 24, 1, 70, 1680, 2520, 120, 1, 252, 34650, 369600, 113400, 720, 1, 924, 756756, 63063000, 168168000, 7484400, 5040, 1, 3432, 17153136, 11732745024, 305540235000, 137225088000, 681080400, 40320, 1, 12870
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,210
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FORMULA
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T(n, k) =(nk)!/k!^n =T(n-1, k)*C(nk, k) =T(n-1, k)*A060539(n, k) =A060540(n, k)*A000142(k)
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PROG
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(PARI) { i=0; for (m=1, 20, for (n=1, m, k=m - n + 1; write("b060538.txt", i++, " ", (n*k)!/k!^n)); ) } [From Harry J. Smith, Jul 06 2009]
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CROSSREFS
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Rows include A000012, A000984, A006480, A008977, A008978 etc. Columns include A000142, A000680, A014606, A014608, A014609 etc. Main diagonal is A034841.
Sequence in context: A019538 A046521 A104684 * A110183 A110098 A130561
Adjacent sequences: A060535 A060536 A060537 * A060539 A060540 A060541
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley, Apr 02 2001
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STATUS
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approved
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