51332
domain: N
Appears in sequences
- sigma_4(n): sum of 4th powers of divisors of n.at n=14A001159
- Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=13A005339
- Numerator of sum of -4th powers of divisors of n.at n=14A017671
- Sum of fourth powers of unitary divisors.at n=14A034678
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,2,0.at n=6A037780
- Sum of 4th powers of odd divisors of n.at n=14A051001
- Sum of 4th powers of odd divisors of n.at n=29A051001
- Dirichlet inverse of sigma_4 function (A001159).at n=14A053826
- A level 11 weight 5 form.at n=14A065103
- a(n) = n^4*Product_{distinct primes p dividing n} (1+1/p^4).at n=14A065960
- E.g.f. Sum_{d|M} (exp(d*x)-1)/d, M=15.at n=5A141014
- Hyper-Wiener index of a benzenoid consisting of a zig-zag chain of n hexagons (s=13; see the Gutman et al. reference).at n=10A193394
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^4.at n=14A279395
- a(n) = Sum_{d|n} (-1)^(n/d+1)*d^4.at n=14A284900
- a(0) = 0, a(n) = Sum_{0<d|n, n/d odd} d^4 for n > 0.at n=15A285989
- a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^4.at n=14A321560
- Sum of the 4th powers of the squarefree divisors of n.at n=14A351267
- Sum of the 4th powers of the odd proper divisors of n.at n=29A352032