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A258476
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Number of partitions of n into two sorts of parts having exactly 6 parts of the second sort.
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2
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1, 8, 37, 129, 376, 966, 2258, 4901, 10024, 19509, 36438, 65653, 114753, 195144, 324164, 526911, 840581, 1317461, 2033445, 3092660, 4643571, 6885877, 10099775, 14655962, 21067353, 30002794, 42376093, 59364880, 82558632, 113985165, 156352359, 213082865
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OFFSET
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6,2
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LINKS
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MAPLE
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b:= proc(n, i) option remember; series(`if`(n=0, 1,
`if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
binomial(j, t), t=0..min(6, j)), j=0..n/i))), x, 7)
end:
a:= n-> coeff(b(n$2), x, 6):
seq(a(n), n=6..40);
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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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