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A180285
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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 5.
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1
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5, 30, 147, 672, 2970, 12825, 54450, 228294, 948090, 3907995, 16011905, 65280800, 265055772, 1072443810, 4326290424, 17407489065, 69884197635, 280002750720, 1119913829375, 4472279679846, 17834705765630, 71032337773930, 282586675707180, 1123047360182475
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OFFSET
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5,1
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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))(5):
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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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