149040

Appears in sequences

• Triangle of coefficients arising in calculation of A002872 and A002874 (sorting numbers).at n=44A036073
• Exponential transform of Stirling2 triangle A008277.at n=43A055896
• Number of partitions of {1...n} containing 2 detached pairs of consecutive integers, i.e., partitions in which only 1- or 2-strings of consecutive integers can appear in a block and there are exactly two 2-strings.at n=7A105488
• Integers with exactly 100 divisors.at n=7A163816
• a(n) = (3*n+7)*n^2.at n=36A257042
• Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p).at n=34A282727
• E.g.f.: Product_{k>=1} (1 + x^(3*k-2)/(3*k-2)) / (1 - x^(3*k-2)/(3*k-2)).at n=8A326861
• Triangle read by rows, T(n, k) = Bell(k) * |Stirling1(n, k)|.at n=53A355260