58254
domain: N
Appears in sequences
- Numbers j such that sigma(sigma(j)) = k*j for some k.at n=33A019278
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (2,8)-perfect numbers.at n=5A019285
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=45A035975
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,0.at n=7A037667
- Sigma unitary-sigma perfect numbers: numbers m which satisfy the following equation for some integer k: sigma(usigma(m)) = k*m where usigma(m) is sum of unitary divisors of m.at n=28A083288
- Maximal cycle lengths in a certain class of one-dimensional cellular automata.at n=34A085593
- Maximal cycle lengths in a certain class of one-dimensional cellular automata.at n=34A085595
- Expansion of x^3/(1 - 2*x + x^3 - 2*x^4) = x^3/( (1-2*x)*(1+x)*(1-x+x^2) ).at n=19A113405
- First differences of (A113405 prefixed with a 0).at n=19A131666
- a(n) = 3 A113405(n)- A113405(n+1).at n=19A133511
- Sequence arising in a search for three consecutive powerful numbers.at n=3A135735
- a(n) = floor(2^n/9).at n=19A153234
- Eight bishops and one elephant on a 3 X 3 chessboard. G.f.: (1-3*x^2)/(1-3*x+4*x^3).at n=14A175656
- (2,k)-perfect numbers (A019278) such that the next (2,k)-perfect number has the same value of k (in A098223).at n=4A205643
- Triangle read by rows giving numbers B(n,k) arising in the enumeration of doubly rooted tree maps.at n=16A260039
- a(n+3) = 2^n - a(n), a(0)=a(2)=1, a(1)=0 for n >= 0.at n=19A328881
- Eventual period of a single cell in rule 105 cellular automaton in a cyclic universe of width n.at n=36A334512