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A180286
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Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 6.
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1
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6, 42, 224, 1080, 4950, 22022, 96030, 412698, 1754116, 7391475, 30931296, 128709040, 533063220, 2199009840, 9040786150, 37061007270, 151538768920, 618244490589, 2517320600894, 10231810963750, 41522339189370, 168265272591000, 681003190888020, 2752938854265495
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OFFSET
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6,1
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LINKS
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MAPLE
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b:= proc(n, i, k) option remember; `if`(n=0, 1,
`if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))
end:
a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(6):
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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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