Write each number in base two. Add leading zeros to every number so the nth number has n digits.
1 =1
1 =01
7 =111
3 =0011
23 =10111
23 =010111
111=1101111
15 =00001111
351=101011111
415=0110011111
Each column has a pattern, n 1's followed by n 0's repeatedly.
For example the third column is 111000111000111000...
Continuing the pattern:
1 = 1
01 = 1
111 = 7
0011 = 3
10111 = 23
010111 = 23
1101111 = 111
00001111 = 15
101011111 = 351
0110011111 = 415
11100111111 = 1855
000100111111 = 319
The next two numbers are 1855 and 319
Sequence 1,1,7,3,23,23,111,15,351,415,1855,319 |