1010101010

Appears in sequences

• Alternate digits 1 and 0.at n=10A056830
• Dyck language interpreted as binary numbers in ascending order.at n=23A063171
• Positions of negative coefficients in cyclotomic polynomial Phi_n(x), A063698 in binary.at n=22A063699
• Working in base 2, replace n with the concatenation of its prime divisors in increasing order.at n=31A064841
• Binary expansion of n followed by its reverse complement.at n=20A066489
• Integers of the form (rep(n)-1)/n where rep(n)=1111111111...111 with n 1's is the n-th repunit number.at n=4A067944
• Natural numbers mapped to Dyck path encodings of the rooted plane trees obtained by recursing on the exponents of the prime factorization of n.at n=10A075166
• Nonnegative integers mapped to Dyck path encodings of the rooted plane trees obtained by recursing on the run lengths of the binary expansion of n.at n=21A075171
• Smallest n-digit multiple of n in which the even-numbered digits are all equal and the odd-numbered digits are all equal, or 0 if no such number exists.at n=9A078252
• Catalan paths: numbers starting with 1 and ending with 0 where each digit is nonnegative and adjacent digits differ by 1.at n=22A079214
• a(n) = floor( (10^n - 1) / (9*n) ).at n=10A089303
• Lexicographically earliest increasing sequence with property that in the concatenation of its terms every pair of consecutive digits differs by 1.at n=34A098766
• Natural numbers mapped to Dyck path encodings of the rooted plane trees obtained by recursing on the exponents of the GF(2)[X] factorization of n.at n=12A106456
• Sequence A115774 in binary.at n=21A115775
• A020988 written in base 2.at n=4A163662
• Binary analog of A098755 and A098756: Binary representation of least available nonnegative integer with bit values alternating for entire sequence.at n=6A176067
• Binary representation of the n-th iteration of the "Rule 77" elementary cellular automaton starting with a single ON (black) cell.at n=5A266872
• Binary representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 165", based on the 5-celled von Neumann neighborhood.at n=22A279502
• Binary representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 195", based on the 5-celled von Neumann neighborhood.at n=9A279749
• Binary representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 243", based on the 5-celled von Neumann neighborhood.at n=9A280146