388962

Appears in sequences

• Mean integral divisors associated with A048751.at n=15A048752
• Terms m of A003337 such that m+1 is also in A003337. I.e., smaller one of two consecutive numbers, both equal to a sum of three 4th powers.at n=28A085322
• Averages of twin prime pairs k such that k*2 and k/2 are squares.at n=21A154670
• Totally multiplicative sequence with a(p) = 7*(p+1) for prime p.at n=39A166647
• a(n) = n^4*(n+1)^4/8.at n=5A202107
• a(n) = n^4/8 if n is even, a(n) = (n^2-1)^2/8 if n is odd.at n=42A212892
• a(n) = 2*n^4.at n=21A244730
• Numbers n such that n^3 = a^2 + b^2 and a^3 + b^3 is a square, for some positive integers a and b.at n=32A257965
• a(n) = numerator of (pod(n) / tau(n)).at n=41A291186
• Corresponding values of pod(n)/tau(n) of numbers n from A120736.at n=17A293376
• Smallest average >= 6 of a twin prime pair that has exactly 2*n divisors, 0 if no such pair exists.at n=23A294730
• For any number n > 0, let f(n) be the function that associates k to the prime(k)-adic valuation of n (where prime(k) denotes the k-th prime); f establishes a bijection between the positive numbers and the arithmetic functions with nonnegative integer values and a finite number of nonzero values; let g be the inverse of f; a(n) = g(f(n) * f(n)) (where i * j denotes the Dirichlet convolution of i and j).at n=17A296857
• a(n) = denominator of Sum_{d|n} tau(d)/pod(d) where tau(k) = the number of the divisors of k (A000005) and pod(k) = the product of the divisors of k (A007955).at n=41A323707
• Numbers n that can be written as both the sum of two nonzero fourth powers and the sum of three nonzero fourth powers.at n=4A336536
• Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(k^4).at n=20A343284
• Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^4).at n=20A343324
• Nonprimes k such that sopfr(k) = rad(k), where sopfr(k) is sum of the prime factors of k (counting multiplicity), and rad(k) is the product of its distinct prime factors.at n=13A386916