111112

Appears in sequences

• a(n) = A047848(7,n).at n=6A047855
• Numbers n such that sum of digits and product of digits are both prime.at n=26A052430
• Digitized partition numbers: numbers with (weakly) increasing digits ordered by sum of their digits then by the numbers themselves.at n=43A060002
• Leftmost 1 is converted to a 2, which then propagates one step at a time until it is rightmost; then it changes to a pair of 1's and the process repeats.at n=27A071762
• a(1) = 1, then the smallest number not included earlier and not a string of 1's such that the concatenation a(n), a(n+1) is a palindrome.at n=19A083122
• Multiples of 2 in which there is no common digit in successive terms.at n=37A083490
• Multiples of 4 in which there is no common digit in successive terms.at n=35A083492
• Multiples of 8 in which there is no common digit in successive terms.at n=30A083496
• A Jacobsthal sequence (A078008) to base 4.at n=12A092900
• List of strings in lexicographic order with property that for the 2^(m-1) strings of length m, the first entry is 1, the second distinct entry (reading from left to right) is 2, the third distinct entry is 3, etc.at n=32A096299
• List of Lyndon words on {1,2} sorted first by length and then lexicographically.at n=14A102659
• Keep only the first digit of each integer and concatenate them. The result is the concatenation of all integers of the sequence.at n=29A106000
• Numbers which are sum of distinct unary numbers (containing only ones), i.e., numbers which are sum of distinct numbers of the form (10^k - 1)/9.at n=32A110382
• Let f(n) be the number of sequences of 1's and 2's which sum to n. Sequence contains the string of sequences.at n=46A114034
• Numbers k such that the concatenation of k with 8*k gives a square.at n=10A115549
• Zero-free numbers with digit sum equal to 7.at n=57A119461
• Sorted list of strings that can be obtained by starting with 12 and repeatedly doubling any substring in place.at n=15A130838
• Numbers n with property that for each single digit d of the base 3 expansion of n, we can also see the base 3 expansion of d^2 as a substring. Also n may not contain any 0 digits.at n=33A135464
• Smallest number whose sum of cubes of digits is n.at n=13A165370
• Numbers that are multiples of their digital product, where this digital product also appears as their least significant digits.at n=32A167620