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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
a(n) = A000041(n) - A000720(n) = p(n) - primepi(n).
MATHEMATICA
Table[PartitionsP[n] - PrimePi[n], {n, 50}]
CROSSREFS
Sequence in context: A212544 A349801 A320787 * A288566 A084421 A271723
KEYWORD
nonn
AUTHOR
Omar E. Pol, Jan 27 2011
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)