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A258363 Sum over all partitions lambda of n into 8 distinct parts of Product_{i:lambda} prime(i). 2
9699690, 11741730, 27927900, 49533330, 98525490, 170218830, 325872714, 562212782, 1032566057, 1629661685, 2724030632, 4284584225, 6990871609, 10713813287, 17001782121, 25600766613, 39614085330, 58088625761, 87187552970, 126762441906, 186103726454, 266554756593 (list; graph; refs; listen; history; text; internal format)
OFFSET

36,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 36..1000

MAPLE

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);

CROSSREFS

Column k=8 of A258323.

Cf. A000040.

Sequence in context: A103936 A147713 A123322 * A147575 A046326 A154573

Adjacent sequences:  A258360 A258361 A258362 * A258364 A258365 A258366

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 27 2015

STATUS

approved

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Last modified October 23 14:22 EDT 2019. Contains 328345 sequences. (Running on oeis4.)