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A375304
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Triangle read by rows, T(n,k) = Sum_{i=0..n} (-1)^i*(k!)^i*(n*k-i*k)!), 0<=k<=n.
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0
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1, 0, 0, 1, 2, 24, 0, 4, 672, 358560, 1, 20, 38976, 476850240, 20911317073920, 0, 100, 3550848, 1304813266560, 2432400136566865920, 15510918113914245120000000, 1, 620, 471899904, 6394544826128640, 620390024129961834577920, 265250998502017388926894080000000, 371993135808163790752351286618750976000000
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,5
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COMMENTS
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For a combinatorial interpretation see Janjić, page 10, corollary 3.6.
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LINKS
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EXAMPLE
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The triangle begins
1,
0, 0,
1, 2, 24,
0, 4, 672, 358560,
1, 20, 38976, 476850240, 20911317073920,
0, 100, 3550848, 1304813266560, 2432400136566865920, 15510918113914245120000000,
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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