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A258360 Sum over all partitions lambda of n into 5 distinct parts of Product_{i:lambda} prime(i). 2
2310, 2730, 7860, 15606, 35594, 67255, 120061, 201324, 364479, 592991, 1004771, 1530056, 2444073, 3691392, 5610179, 8334486, 12213775, 17529361, 25187765, 35345858, 49999364, 68516285, 94223007, 127478773, 172613052, 230362430, 305639795, 401637665, 527011287 (list; graph; refs; listen; history; text; internal format)
OFFSET

15,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 15..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, 6), polynom)

    end:

a:= n-> coeff(g(n$2), x, 5):

seq(a(n), n=15..60);

CROSSREFS

Column k=5 of A258323.

Cf. A000040.

Sequence in context: A051270 A046387 A136154 * A076252 A264718 A147572

Adjacent sequences:  A258357 A258358 A258359 * A258361 A258362 A258363

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 27 2015

STATUS

approved

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Last modified October 20 02:18 EDT 2019. Contains 328244 sequences. (Running on oeis4.)