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A320764
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Number of ordered set partitions of [n] where the maximal block size equals eight.
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2
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1, 18, 360, 7260, 152460, 3361644, 78041964, 1908389340, 49118959890, 1328964080730, 37738620245898, 1122927974067042, 34953464391146730, 1136306352798186570, 38520124906043253330, 1359621561034260858906, 49896547074800880656202, 1901350452285623246965200
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OFFSET
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8,2
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LINKS
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FORMULA
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E.g.f.: 1/(1-Sum_{i=1..8} x^i/i!) - 1/(1-Sum_{i=1..7} x^i/i!).
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MAPLE
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b:= proc(n, k) option remember; `if`(n=0, 1, add(
b(n-i, k)*binomial(n, i), i=1..min(n, k)))
end:
a:= n-> (k-> b(n, k) -b(n, k-1))(8):
seq(a(n), n=8..25);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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