1048575

Appears in sequences

• a(n) = 2^n - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.)at n=20A000225
• 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=18A000236
• Woodall (or Riesel) numbers: n*2^n - 1.at n=15A003261
• Stirling numbers of second kind S2(21,n).at n=1A011570
• Nexus numbers (n+1)^20 - n^20.at n=1A022536
• a(n) = 4^n - 1.at n=10A024036
• 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=31A036379
• Maximum cycle length in differentiation digraph for n-bit binary sequences.at n=54A038553
• Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 10.at n=29A043868
• Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, complement and reversed complement.at n=41A045683
• Numbers that are repdigits in base 4.at n=30A048329
• Expansion of 1/((1 - x)*(1 - 2*x^2)).at n=38A052551
• Expansion of 1/((1 - x)*(1 - 2*x^2)).at n=39A052551
• a(2n) = 2*2^n - 1, a(2n+1) = 3*2^n - 1.at n=38A052955
• Difference between 2^n and largest square strictly less than 2^n.at n=38A056007
• Number of primitive (aperiodic) palindromic structures of length n using a maximum of two different symbols.at n=41A056476
• Number of primitive (aperiodic) palindromic structures using exactly two different symbols.at n=41A056481
• Number of periodic palindromic structures of length n using exactly two different symbols.at n=40A056508
• Number of primitive (period n) periodic palindromic structures using a maximum of two different symbols.at n=41A056513
• Number of primitive (period n) periodic palindromic structures using exactly two different symbols.at n=40A056518