32352

Appears in sequences

• Coordination sequence for squashed {D_5}* lattice, perhaps the smallest example of a "non-superficial" lattice.at n=10A010024
• A recursive triangular sequence with row sums (5^(n - 1)*(n + 3)!)/12: A(n,k)= A(n - 1, k - 1) + A(n - 1, k) + 5 *(2 + n) (13 + 5* n)*A(n - 2, k - 1).at n=16A153811
• A recursive triangular sequence with row sums (5^(n - 1)*(n + 3)!)/12: A(n,k)= A(n - 1, k - 1) + A(n - 1, k) + 5 *(2 + n) (13 + 5* n)*A(n - 2, k - 1).at n=19A153811
• G.f.: A(x) = exp( 2*Sum_{n>=1} 2^[A007814(n)^2] * x^n/n ), where A007814(n) = exponent of highest power of 2 dividing n.at n=16A162580
• Triangle T(n,m) = 2+A176697(n)-A176697(m)-A176697(n-m) read along rows 0<=m<=n.at n=59A176700
• Number of 2 X 2 matrices having all terms in {1,...,n} and positive determinant.at n=15A211059
• Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant > n.at n=7A211150
• E.g.f. satisfies: A(x) = exp( 2*x*Catalan(x*A(x)) ), where Catalan(x) = (1-sqrt(1-4*x))/(2*x) is the g.f. of A000108.at n=5A214689
• Positive integers n such that prime(n+i) is a primitive root modulo prime(n+j) for any distinct i and j among 0, 1, 2, 3.at n=5A243839
• The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2).at n=21A292345
• Expansion of Product_{k>=0} (1 + x^(4^k))^(4^(k+1)).at n=22A321355
• Number of partitions of [n] such that the element sum of each block is one more than a multiple of ten.at n=16A375957
• Composite numbers that contain only prime digits and whose prime factors contain only prime digits.at n=42A387093