95232
domain: N
Appears in sequences
- Theta series of laminated lattice LAMBDA_9.at n=15A005933
- Number of Hamiltonian cycles in the directed graph with 2n nodes {0..2n-1} and edges from each i to 2i (mod 2n) and to 2i+1 (mod 2n).at n=21A027362
- Number of binary Lyndon words with an even number of 1's.at n=21A051841
- Number of rods required to make a 3-D cube of side length n.at n=31A059986
- a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=2.at n=26A067975
- Third binomial transform of C(n+2,2).at n=7A081893
- Rhonda numbers to base 10.at n=28A099542
- Product_{n>=1} (1 + 2*a(n)*x^n) = Sum_{k>=0} binomial(2*k, k)*x^k = 1/sqrt(1 - 4*x), with the central binomial numbers A000984(n).at n=10A157163
- Averages of twin prime pairs that are sums of 5 consecutive averages of twin prime pairs.at n=26A160919
- Numbers with 44 divisors.at n=15A175751
- Heinz numbers of integer partitions, with at least three parts, whose product of parts is one fewer than their sum.at n=18A325043
- a(1)= 2. For n > 1, a(n) is the least number k such that k, k - a(n-1) and k + a(n-1) all have n prime divisors counted by multiplicity.at n=11A365852
- Numbers k such that the difference A051903(k) - A328114(A003415(k)) reaches a new maximum in range 1..k, where A051903 is the maximal exponent in the prime factorization of n, A328114 is the maximal digit in the primorial base expansion of n, and A003415 is the arithmetic derivative.at n=5A369646
- a(n) = Sum_{k=0..n} floor((k/2)^2)*n^2. Row sums of A391996.at n=16A391997