75175
domain: N
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=44A000041
- Nonprime partition numbers.at n=36A038753
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=44A039896
- Number of starting positions of Nim with 2n pieces such that 2nd player wins. Partitions of 2n such that xor-sum of partitions is 0.at n=30A048833
- Odd partition numbers.at n=25A052003
- Number of ways to partition 2n into positive integers.at n=22A058696
- Smallest partition number divisible by n.at n=30A072871
- Partition numbers of the form 3*k+1.at n=12A087184
- Number of partitions of n-th composite number containing the smallest prime factor: a(n) = A027293(A002808(n), A056608(n)).at n=30A091114
- Number of partitions of the n-th decimal palindrome.at n=13A091582
- Smallest partition number with n-th prime as factor.at n=10A091689
- Smallest partition number with n-th prime as factor.at n=24A091689
- Number of partitions of T where T = (3n + 1) if n is even and T=(3n + 1)/2 if n is odd.at n=28A111329
- Irregular triangle which contains in row n those partition numbers A000041(n*prime(m) + m + 1) which are congruent to 0 mod prime(m) for 1 <= m <= n.at n=17A117749
- Irregular triangle which contains in row n those partition numbers A000041(n*(2m+1) + m + 2) which are congruent to 0 mod (2m+1) for 1 <= m <= n.at n=16A117750
- Odd partition numbers of even numbers.at n=12A154797
- Partition numbers p(n) having opposite parity of n.at n=20A209659
- p(5n+4) where p(k) = number of partitions of k = A000041(k).at n=8A213260
- Number of partitions of n in which no parts are multiples of 49.at n=44A213598
- Partition numbers of the form 5k.at n=13A225325