100010001

Appears in sequences

• Numbers whose cube is a palindrome.at n=23A002780
• Palindromes of form k^2 + k + 1.at n=16A028414
• Lexicographically earliest strictly increasing base-2 autovarious sequence: a(n) = number of distinct a(k) mod 2^n (written in base 2).at n=25A037090
• Carryless binary square of n; also Moser-de Bruijn sequence written in binary.at n=21A063010
• Positions of positive coefficients in cyclotomic polynomial Phi_n(x), A063696 in binary.at n=20A063697
• a(n) = 10^(2*n) + 10^n + 1.at n=4A066138
• Numbers k such that k and k^3 are both palindromes.at n=22A069748
• Numbers of the form (10^(m*r)-1)/(10^r-1) for positive integers m, r.at n=18A076289
• Palindromic numbers whose squares and cubes are equally palindromic.at n=21A087988
• Modular binomial transform of 10^n.at n=19A101623
• Binary representation of n-th iteration of the Rule 54 elementary cellular automaton starting with a single black cell.at n=4A118109
• State of one-dimensional cellular automaton 'sigma' (Rule 150): 000,001,010,011,100,101,110,111 -> 0,1,1,0,1,0,0,1 at generation n, when started with a single ON cell, regarded as a binary number.at n=4A118110
• Integers written in base phi, with the "decimal point" omitted.at n=7A130600
• Numbers that have only the digit "1" as first, central and final digit. For numbers with 5 or more digits the rest of digits are "0".at n=4A135577
• Squares in lunar arithmetic in base 2 written in base 2.at n=17A171222
• Palindromes i such that 2*i^2 is a palindrome.at n=23A256495
• Binary representation of the n-th iteration of the "Rule 147" elementary cellular automaton starting with a single ON (black) cell.at n=4A262861
• Base-4 numbers whose square is a palindrome in base 4.at n=26A263609
• Base 5 numbers whose square is a palindrome in base 5.at n=30A263611
• Binary representation of the n-th iteration of the "Rule 105" elementary cellular automaton starting with a single ON (black) cell.at n=4A267146