101001

Appears in sequences

• Squares written in base 4.at n=33A001739
• Least positive multiple of n written in base 4 using only 0 and 1.at n=32A004284
• Least positive multiple of n written in base 8 using only 0 and 1.at n=22A004288
• Primes written in base 2.at n=12A004676
• Representation of n in base of Fibonacci numbers (the Zeckendorf representation of n). Also, binary words starting with 1 not containing 11, with the word 0 added.at n=19A014417
• Roots of 'non-palindromic cubes remaining cubic when written backwards'.at n=7A035125
• Lexicographically earliest strictly increasing base-2 autovarious sequence: a(n) = number of distinct a(k) mod 2^n (written in base 2).at n=14A037090
• Positive numbers having the same set of digits in base 2 and base 10.at n=36A037415
• Lexicographically earliest strictly increasing base 4 autovarious sequence: a(n) = number of distinct a(k) mod 4^n (written in base 4).at n=23A038113
• Lexicographically earliest strictly increasing base 5 autovarious sequence: a(n) = number of distinct a(k) mod 5^n (written in base 5).at n=19A038114
• Sums of 3 distinct powers of 10.at n=13A038445
• Numbers k for which there exists some m such that k = Sum_{i=1..1+floor(log_10(k))} binomial(m, d_i), where d_i is the i-th digit of k.at n=39A055481
• Numbers k such that k^2 contains only digits {0,1,2}, not ending with zero.at n=14A058411
• Coefficients of irreducible polynomials over GF(2) listed in lexicographic order.at n=9A058943
• Coefficients of primitive irreducible polynomials over GF(2) listed in lexicographic order.at n=7A058947
• Binary string which equals n when 1's, 2's, 4's and 8's bits have weights -1, 1, 3, 6 respectively, while the other bits have their usual weights. -1 if no such string exists.at n=37A066327
• Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 1, 3, 5 respectively, while the other bits have their usual weights. -1 if no such string exists.at n=38A066329
• Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 2, 4, 5 respectively, while the other bits have their usual weights. -1 if no such string exists.at n=38A066330
• Digitally balanced numbers: binary numbers which have the same number of 0's as 1's; decimal representation: A031443.at n=7A071925
• Primes of form 4k+3 written in base 3.at n=30A072805