65535

Appears in sequences

• a(n) = 2^n - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.)at n=16A000225
• 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=16A000740
• Numbers k such that phi(k) = phi(k+1).at n=34A001274
• Sierpiński's triangle (Pascal's triangle mod 2) converted to decimal.at n=15A001317
• Divisors of 2^16 - 1.at n=15A003527
• Divisors of 2^32 - 1 (for a(1) to a(31), the 31 regular polygons with an odd number of sides constructible with ruler and compass).at n=15A004729
• Stirling numbers of second kind S2(17,n).at n=1A011566
• Number of Barlow packings with group P63/mmc(S) that repeat after 4n layers.at n=16A011946
• 2^(2^n) +- 1 without repeats.at n=7A016043
• Numbers n such that sigma(phi(n)) = n.at n=8A018784
• Nexus numbers (n+1)^16-n^16.at n=1A022532
• a(n) = 4^n - 1.at n=8A024036
• 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=23A036379
• Numbers whose base-3 and base-4 expansions have no digits in common.at n=19A037345
• Bisection of A001317.at n=7A038192
• Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 8.at n=23A043851
• Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 9.at n=23A043859
• Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 10.at n=23A043868
• Odd values of n for which a regular n-gon can be constructed by compass and straightedge.at n=14A045544
• Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, complement and reversed complement.at n=34A045683