Sequences

Every run of digits of n in base 13 has length 2.

Every run of digits of n in base 14 has length 2.

Every run of digits of n in base 15 has length 2.

Every run of digits of n in base 16 has length 2.

Numbers whose base-2 expansion has no run of digits with length < 2.

Numbers whose base-3 expansion has no run of digits with length < 2.

Numbers whose base-4 expansion has no run of digits with length < 2.

Numbers whose base-5 expansion has no run of digits with length < 2.

Numbers whose base-6 expansion has no run of digits with length < 2.

Numbers whose base-7 expansion has no run of digits with length < 2.

Numbers whose base-8 expansion has no run of digits with length < 2.

Numbers whose base-9 expansion has no run of digits with length < 2.

Numbers whose base-10 expansion has no run of digits with length < 2.

Numbers whose base-11 expansion has no run of digits with length < 2.

Numbers whose base-12 expansion has no run of digits with length < 2.

Numbers whose base-13 expansion has no run of digits with length < 2.

Numbers whose base-14 expansion has no run of digits with length < 2.

Numbers whose base-15 expansion has no run of digits with length < 2.

Numbers whose base-16 expansion has no run of digits with length < 2.

Derangement numbers d(n,3) where d(n,k) = k(n-1)(d(n-1,k) + d(n-2,k)), with d(0,k) = 1 and d(1,k) = 0.

Squarefree kernels of 3-smooth numbers.

Numbers all of whose base 6 digits are odd.

Numbers all of whose base 7 digits are odd.

Numbers all of whose base 8 digits are odd.

Numbers such that all base 9 digits are odd.

Numbers all of whose base 11 digits are odd.

Numbers all of whose base 12 digits are odd.

Numbers all of whose base 13 digits are odd.

Numbers all of whose base 14 digits are odd.

Numbers all of whose base 15 digits are odd.

Numbers all of whose base 16 digits are odd.

Sums of distinct powers of 5.

Sums of distinct powers of 6.

Sums of distinct powers of 7.

Sums of distinct powers of 8.

Sums of distinct powers of 9.

Sums of distinct powers of 11.

Sums of distinct powers of 12.

Sums of distinct powers of 13.

Numbers whose set of base 14 digits is {0,1}.

Numbers whose set of base 15 digits is {0,1}.

a(1) = 1, a(2n) = 16a(n), a(2n+1) = a(2n)+1.

Numbers whose base-2 representation Sum_{i=0..m} d(i)*2^i has d(i)=1 when i != m mod 2.

Numbers whose base-3 representation Sum_{i=0..m} d(i)*3^i has d(i)=1 for m-i odd.

Numbers whose base-4 representation Sum_{i=0..m} d(i)*4^i has odd d(m-i) for all odd i.

Numbers whose base-5 representation Sum_{i=0..m} d(i)*5^i has odd d(m-i) for all odd i.

Numbers whose base-6 representation Sum_{i=0..m} d(i)*6^i has odd d(m-i) for all odd i.

Numbers whose base-7 representation Sum_{i=0..m} d(i)*7^i has odd d(m-i) for all odd i.

Numbers whose base-8 representation Sum_{i=0..m} d(i)*8^i has odd d(m-i) for all odd i.

Numbers whose base-9 representation Sum_{i=0..m} d(i)*9^i has odd d(m-i) for all odd i.