78608

Appears in sequences

• a(n) = 2*n^3.at n=34A033431
• a(n) = n^4 - n^3.at n=17A085537
• a(n) = n*(n + 1)^3.at n=16A085540
• a(n) = p^3*(p-1), where p = prime(n).at n=6A138403
• O.g.f.: Sum_{n>=0} 2^(n^2)*x^n/(1 - 2^n*x)^n.at n=4A171799
• Products of the 4th power of a prime and a distinct prime of power 3 (p^4*q^3).at n=12A179666
• a(n) = product of non-powerful divisors d of n.at n=67A183103
• a(n) = product of divisors of n that are not perfect powers.at n=67A183105
• a(n) = floor(1/{(2+n^4)^(1/4)}), where {} = fractional part.at n=34A184537
• Number of 7-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=15A187381
• a(n) = phi(n^4).at n=16A189393
• Strong Achilles numbers: Achilles numbers m such that phi(m) is also an Achilles number, where phi(m) denotes Euler's totient function of m.at n=28A194085
• Number of (w,x,y,z) with all terms in {0,...,n}, w, x and y odd, and z odd.at n=32A212764
• a(n) = Product_{d|n} Product_{d_x|n , d_x <= d} d_x.at n=33A220849
• L.g.f.: log( Sum_{n>=0} x^n/n! * Product_{k=1..n} (k^2 + 1) ).at n=6A262002
• Array read by antidiagonals: T(n,m) = 2^n*(1+2^n)^m; n,m >= 0.at n=32A264872
• Numbers k such that k mod phi(k) = lambda(k).at n=39A290184
• Numbers k such that k^3 is the sum of two nonzero 4th powers.at n=10A291849
• Total volume of all cubes with side length n which can be split such that n = p + q, p divides q and p < q.at n=33A303972
• Terms of A140110 that are not divisible by 6.at n=27A309263