57330

Appears in sequences

• Theta series of A_6 lattice.at n=32A008446
• Theta series of 14-dimensional lattice M14,6 with minimal norm 6.at n=7A047637
• Number of primitive (period n) step cyclic shifted sequences using a maximum of six different symbols.at n=7A056423
• Number of partitions of n where n divides the product of the parts.at n=49A057568
• Numbers j such that j and 2j are both between a pair of twin primes.at n=16A066388
• Total number of Eulerian circuits in labeled multigraphs with n edges.at n=5A069736
• Triangle read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x)^2 + xy*f(x,y)^2.at n=50A086614
• Sum of staircase twin primes according to the rule: top * bottom - next top.at n=16A135285
• a(1)=2. For n >=2, a(n) = the least integer >= a(n-1) that is not coprime to both a(n-1)+1 and a(n-1).at n=35A140525
• Number of nX1 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=10A200930
• Numbers m such that exactly four subsets of {m-1, m, m+1} sum up to a prime number.at n=19A221310
• Triangular array read by rows: row n gives the coefficients of the polynomial p(n,x) defined in Comments.at n=47A249100
• a(n) = f(1,n,n), where f is the Sudan function defined in A260002.at n=12A260006
• Numbers k sandwiched between twin primes, such that k times the reverse of k is also sandwiched between twin primes.at n=36A357076
• Expansion of g.f. A(x,y) satisfying A(x,y) = 1 + x*A(x,y)/(1 - x*y * A(x,y))^2, as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=59A365770
• a(n) = denominator of Sum_{k = 1..n} 1 / (A000959(k)*A375527(k)).at n=5A375528