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A258362 Sum over all partitions lambda of n into 7 distinct parts of Product_{i:lambda} prime(i). 2
510510, 570570, 1436820, 2655870, 5532330, 9757518, 19659886, 34710965, 58356321, 96541978, 161476211, 256683013, 419693431, 647984259, 1021626403, 1536889595, 2332063802, 3443800806, 5133970767, 7443724123, 10827942578, 15520714599, 22052126419, 30994058608 (list; graph; refs; listen; history; text; internal format)
OFFSET

28,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 28..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, 8), polynom)

    end:

a:= n-> coeff(g(n$2), x, 7):

seq(a(n), n=28..60);

CROSSREFS

Column k=7 of A258323.

Cf. A000040.

Sequence in context: A230619 A176655 A123321 * A147574 A046325 A136352

Adjacent sequences:  A258359 A258360 A258361 * A258363 A258364 A258365

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 27 2015

STATUS

approved

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Last modified November 21 12:11 EST 2019. Contains 329370 sequences. (Running on oeis4.)