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A243123
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Number of compositions of n in which the maximal multiplicity of parts equals 6.
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2
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1, 0, 7, 7, 35, 63, 176, 378, 889, 1946, 4298, 9282, 18999, 40565, 84371, 169372, 340683, 684957, 1359758, 2650942, 5142116, 10008642, 19123713, 36370362, 68799767, 129920385, 241668105, 450604609, 830903577, 1529103100, 2800280316, 5100363926, 9233845628
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OFFSET
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6,3
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LINKS
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FORMULA
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MAPLE
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b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))
end:
a:= n-> b(n$2, 0, 6) -b(n$2, 0, 5):
seq(a(n), n=6..50);
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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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