53174
domain: N
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=42A000041
- Sort-then-add sequence: a(1) = 316, a(n+1) = a(n) + sort(a(n)).at n=13A033861
- Nonprime partition numbers.at n=34A038753
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=42A039896
- Even partition numbers.at n=17A052001
- Number of ways to partition 2n into positive integers.at n=21A058696
- a(n) = p(p(n)), p = partition numbers A000041.at n=10A058699
- Partition numbers of the form 3*k+2.at n=11A087185
- Number of partitions of n-th composite number containing the smallest prime factor: a(n) = A027293(A002808(n), A056608(n)).at n=28A091114
- Number of partitions of n-th composite number containing the smallest prime factor: a(n) = A027293(A002808(n), A056608(n)).at n=29A091114
- Number of partitions of n-th composite number containing the smallest prime factor: a(n) = A027293(A002808(n), A056608(n)).at n=32A091114
- Number of partitions of n into integers not greater than the squarefree kernel of n.at n=41A098715
- Numbers n such that p(12n) is prime, where p(n) is the number of partitions of n.at n=35A115214
- Number of partitions of the Catalan number binomial(2n,n)/(n+1).at n=5A120379
- Number of partitions of n*(n+1).at n=6A120380
- Even partition numbers of even numbers.at n=9A154798
- Partition numbers p(n) having the same parity as n.at n=22A209658
- Number of partitions of n in which no parts are multiples of 49.at n=42A213598
- Partition numbers of the form 11k.at n=19A225361
- Number of partitions of n such that the parts include all primes, without multiplicity, dividing n.at n=49A236938