52705

Appears in sequences

• a(1) = 1; for n>1, a(n) = the smallest number p > a(n-1) such that (a(n-1)+p)/2 is a cube.at n=36A126950
• Number of 1X6 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 1 zero-sum 6-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=18A192693
• a(n) = Sum_{k=0..n}((binomial(2*k,k)/(k+1)*binomial(2*n+2,n-k))).at n=7A270530
• a(n) = Sum_{1 <= x_1, x_2 <= n} ( n/gcd(x_1, x_2, n) )^3.at n=8A372950
• Triangle read by rows: T(n,k) = number of heapable permutations of length n whose longest decreasing subsequence has length k.at n=27A390146