262143

Appears in sequences

• a(n) = 2^n - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.)at n=18A000225
• Maximum m such that there are no two adjacent elements belonging to the same n-th power residue class modulo some prime p in the sequence 1,2,...,m (equivalently, there is no n-th power residue modulo p in the sequence 1/2,2/3,...,(m-1)/m).at n=16A000236
• Number of 2n-bead balanced binary necklaces of fundamental period 2n, equivalent to reversed complement; also Dirichlet convolution of b_n=2^(n-1) with mu(n); also number of components of Mandelbrot set corresponding to Julia sets with an attractive n-cycle.at n=18A000740
• Generalized Euler phi function (for p=2).at n=18A003473
• Divisors of 2^18 - 1.at n=31A003528
• Stirling numbers of second kind S2(19,n).at n=1A011568
• Number of Barlow packings with group P63/mmc(S) that repeat after 4n layers.at n=18A011946
• Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LOS = Losod Na12[Al12Si12O48].18H2O starting with a T2 atom.at n=7A019031
• Nexus numbers (n+1)^18 - n^18.at n=1A022534
• Expansion of Product_{m>=1} (1+q^m)^(-7).at n=22A022602
• a(n) = 4^n - 1.at n=9A024036
• a(n) = 8^n - 1.at n=6A024088
• Special connected numbers: minimal and maximal connected numbers (cf. A029827) of a given binary order, i.e., between two consecutive powers of 2.at n=27A036379
• Numbers whose base-3 and base-4 expansions have no digits in common.at n=30A037345
• Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 9.at n=26A043859
• Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 10.at n=26A043868
• Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, complement and reversed complement.at n=37A045683
• Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, complement and reversed complement.at n=38A045683
• Numbers that are repdigits in base 4.at n=27A048329
• Numbers that are repdigits in base 8.at n=42A048333