211111

Appears in sequences

• Numbers n such that sum of digits and product of digits are both prime.at n=31A052430
• Successive positions in Tower of Hanoi (with three pegs {0,1,2}) where xyz means smallest disk is on peg z, second smallest is on peg y, third smallest on peg x, etc. and leading zeros indicate largest disks are all on peg 0.at n=32A055662
• Digitized partition numbers: numbers with (weakly) decreasing digits ordered by sum of their digits then by the numbers themselves.at n=43A068743
• 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=22A071762
• 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=18A083122
• 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=51A114034
• Zero-free numbers with digit sum equal to 7.at n=62A119461
• Least early bird number of order n.at n=13A133652
• Number of n X n binary arrays with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation.at n=8A147123
• Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation.at n=18A147125
• Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation.at n=19A147125
• Numbers with digital product = 2.at n=20A199986
• Composite numbers whose product of digits is 2.at n=14A201015
• Triangle read by rows in which row n lists the binary words of length n over the alphabet {1,2} with no initial repeats.at n=36A211029
• Composite numbers for which both sum and product of digits are primes.at n=14A225864
• Over the alphabet {1,2} let A=111, B=211; sequence lists words A, B, AA, AB, BA, BB, AAA, AAB, ...at n=4A291797
• Irregular triangle read by rows in which n-th row lists all partitions of n, in graded reverse lexicographic ordering, using a compressed notation.at n=42A322761
• List of Nyldon words over {1,2}.at n=14A328073
• List of co-Lyndon words on {1,2} sorted first by length and then lexicographically.at n=14A329318
• Numbers k that are the representation of primes in base 3 and in base 4.at n=27A340290