30789
domain: N
Appears in sequences
- Number of asymmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have no symmetry.at n=21A000785
- n satisfying sigma(n+1) = sigma(n-1).at n=34A055574
- Numbers k such that sigma(k-1) divides sigma(k+1).at n=40A067130
- Numbers k such that A098037(k) sets a new record. A098037 is the number of prime divisors (counting multiplicity) of the sums of two consecutive primes.at n=13A098048
- Starting numbers for which the RATS sequence has eventual period 3.at n=14A114613
- Number of (1,-1)-returns to the horizontal axis in all weighted lattice paths in L_n. The members of L_n are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=13A182897
- Numbers n such that sigma(n+1) - sigma(n-1) = k*n for some integer k, where sigma(n) = A000203 (sum of divisors of n).at n=35A223137
- Numbers k such that sigma(k+1) divides sigma(k-1).at n=37A227304
- Number of partitions p of n such that the m(M(p)) is a part, where m = multiplicity, M = the minimum multiplicity of the parts of p.at n=44A240539
- Number of length 3+2 0..n arrays with the medians of every three consecutive terms nondecreasing.at n=7A250142
- Least k such that prime(k) + prime(k+1) contains n prime divisors (with multiplicity), otherwise 0.at n=16A251600
- Expansion of Product_{k>=1} (1 + x^(2*k-1))^(k*(k-1)/2).at n=34A294777
- Number of n element multisets of length 3 vectors over GF(2) that sum to zero.at n=16A362906