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A258365
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Sum over all partitions lambda of n into 10 distinct parts of Product_{i:lambda} prime(i).
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2
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6469693230, 6915878970, 16974457500, 30110390310, 56648021430, 91846692630, 166537585410, 268444482090, 465147702876, 769400170732, 1299770760139, 1975738341511, 3175348256422, 4843294699465, 7521662925183, 11300032117575, 17213602502741, 25375081790449
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OFFSET
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55,1
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LINKS
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MAPLE
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g:= proc(n, i) option remember; convert(series(`if`(n=0, 1,
`if`(i<1, 0, add(g(n-i*j, i-1)*(ithprime(i)*x)^j
, j=0..min(1, n/i)))), x, 11), polynom)
end:
a:= n-> coeff(g(n$2), x, 10):
seq(a(n), n=55..75);
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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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