|
|
A183151
|
|
Number of partitions of n minus the number of primes <= n.
|
|
0
|
|
|
1, 1, 1, 3, 4, 8, 11, 18, 26, 38, 51, 72, 95, 129, 170, 225, 290, 378, 482, 619, 784, 994, 1246, 1566, 1949, 2427, 3001, 3709, 4555, 5594, 6831, 8338, 10132, 12299, 14872, 17966, 21625, 26003, 31173, 37326, 44570, 53161, 63247, 75161, 89120, 105544, 124739, 147258, 173510, 204211
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,4
|
|
COMMENTS
|
This has a visualization when the shell model of partition of A135010 is connected to the geometric model of the divisors of the natural numbers of A000005 which gives the location of the prime numbers for d(n)=2. See the illustrations of initial terms in the entries A000005, A000040, A000041 and A000720.
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Table[PartitionsP[n] - PrimePi[n], {n, 50}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|