|
|
A258359
|
|
Sum over all partitions lambda of n into 4 distinct parts of Product_{i:lambda} prime(i).
|
|
2
|
|
|
210, 330, 852, 1826, 4207, 6595, 13548, 21479, 38905, 59000, 95953, 142843, 231431, 324152, 487361, 683227, 1003028, 1347337, 1907811, 2541970, 3526314, 4597020, 6194948, 7969172, 10618000, 13401580, 17424498, 21875750, 28102737, 34685941, 43856482, 53791587
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
10,1
|
|
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, 5), polynom)
end:
a:= n-> coeff(g(n$2), x, 4):
seq(a(n), n=10..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, 4];
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|