Sequences

Numbers whose set of base-4 digits is a subset of {1,3}.

Numbers whose set of base-5 digits is {1,3}.

Numbers whose set of base-6 digits is {1,3}.

Numbers whose set of base-7 digits is {1,3}.

Numbers whose set of base-8 digits is {1,3}.

Numbers whose set of base-9 digits is {1,3}.

Numbers having only digits 1 and 3 in their decimal representation.

Numbers whose set of base-11 digits is {1,3}.

Numbers whose set of base-12 digits is {1,3}.

Numbers whose set of base-13 digits is {1,3}.

Numbers whose set of base-14 digits is {1,3}.

Numbers whose set of base-15 digits is {1,3}.

Numbers whose set of base-16 digits is {1,3}.

Numbers whose ternary expansion contains no 0.

Numbers whose set of base-4 digits is a subset of {1,2}.

Numbers whose set of base-5 digits is {1,2}.

Numbers whose set of base-6 digits is {1,2}.

Numbers whose set of base-7 digits is {1,2}.

Numbers whose set of base-8 digits is {1,2}.

Numbers whose set of base-9 digits is {1,2}.

Numbers whose set of base-11 digits is {1,2}.

Numbers whose set of base-12 digits is {1,2}.

Numbers whose set of base-13 digits is {1,2}.

Numbers whose set of base-14 digits is {1,2}.

Numbers whose set of base-15 digits is {1,2}.

Numbers whose set of base-16 digits is {1,2}.

Numbers k whose base-2 representation Sum_{i=0..m} d(i)*2^(m-i) has d(i)=0 for all odd i, excluding 0. Here m is the position of the leading bit of k.

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

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

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

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

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

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

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

Numbers k whose base-10 representation Sum_{i=0..m} d(i)*10^(m-i) has d(i)=0 for all odd i. Here m is the position of the lead digit of k.

Numbers whose base-11 representation Sum_{i=0..m} d(i)*11^i has d(i)=0 for all odd i.

Numbers whose base-12 representation Sum_{i=0..m} d(i)*12^i has d(i)=0 for all odd i.

Numbers k whose base-13 representation Sum_{i=0..m} d(i)*13^(m-i) has d(i)=0 for all odd i. Here m is the position of the leading bit of k.

Numbers whose base-14 representation Sum_{i=0..m} d(i)*14^i has d(i)=0 for all odd i.

Numbers whose base-15 representation Sum_{i=0..m} d(i)*15^i has d(i)=0 for all odd i.

Numbers whose base-16 representation Sum_{i=0..m} d(i)*16^i has d(i)=0 for all odd i.

Expansion of (1+x*C^4)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

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

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

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

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

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

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

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

Numbers whose base-10 representation Sum_{i=0..m} d(i)*10^(m-i) has even d(i) for all odd i.