A258364 - OEIS

%I #4 May 27 2015 17:34:35

%S 223092870,281291010,641200560,1103452350,2195564910,3564916950,

%T 6783216270,11130902406,20071816324,33727230365,53845325737,

%U 85802963866,137813486551,211362471237,328671594863,499826194085,762249961621,1134280917570,1705626051462,2476880995049

%N Sum over all partitions lambda of n into 9 distinct parts of Product_{i:lambda} prime(i).

%H Alois P. Heinz, <a href="/A258364/b258364.txt">Table of n, a(n) for n = 45..1000</a>

%p g:= proc(n, i) option remember; convert(series(`if`(n=0, 1,

%p       `if`(i<1, 0, add(g(n-i*j, i-1)*(ithprime(i)*x)^j

%p       , j=0..min(1, n/i)))), x, 10), polynom)

%p     end:

%p a:= n-> coeff(g(n$2), x, 9):

%p seq(a(n), n=45..70);

%Y Column k=9 of A258323.

%Y Cf. A000040.

%K nonn

%O 45,1

%A _Alois P. Heinz_, May 27 2015