120400

Appears in sequences

• Sums of 4 distinct powers of 7.at n=23A038483
• Triangular array read by rows: a(n, k) = number of ordered factorizations of a "hook-type" number with n total prime factors and k distinct prime factors. "Hook-type" means that only one prime can have multiplicity > 1.at n=40A098348
• Triangle read by rows: T2[n,k] = Sum_{partitions of n with k parts p(n, k; m_1, m_2, m_3, ..., m_n)} c(n; m_1, m_2, ..., m_n) * x_1^m_1 * x_2^m_2 * ... x^n*m_n, where x_i = i-th prime.at n=32A145520
• Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|>=n+|y-z|.at n=31A212688
• Let h(m) denote the sequence whose n-th term is Sum_{k=0..n} (k+1)^m*T(n,k)^2, where T(n,k) is the Catalan triangle A039598. This is h(7).at n=3A228333
• a(n) = largest k such that A049820(k) <= A262509(n).at n=13A263083