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A258363
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Sum over all partitions lambda of n into 8 distinct parts of Product_{i:lambda} prime(i).
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2
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9699690, 11741730, 27927900, 49533330, 98525490, 170218830, 325872714, 562212782, 1032566057, 1629661685, 2724030632, 4284584225, 6990871609, 10713813287, 17001782121, 25600766613, 39614085330, 58088625761, 87187552970, 126762441906, 186103726454, 266554756593
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OFFSET
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36,1
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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, 9), polynom)
end:
a:= n-> coeff(g(n$2), x, 8):
seq(a(n), n=36..60);
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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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