|
|
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
|
|
|
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);
|
|
MATHEMATICA
|
g[n_, i_] := g[n, i] = If[n == 0, 1, If[i < 1, 0, Sum[g[n - i j, i - 1] (Prime[i] x)^j, {j, 0, Min[1, n/i]}]]];
a[n_] := Coefficient[g[n, n], x, 5];
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|