A356878 a(n) is the least number of binary zeros of squares with binary weight n.
1, 0, 2, 2, 4, 2, 3, 4, 3, 4, 5, 5, 5, 2, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 7, 6, 8, 9, 6, 7, 8, 9, 8, 9, 9, 8, 10, 9, 9, 10, 9, 9, 9, 9, 10, 10, 10, 11, 10
Offset: 0
Examples
Squares with | possible number of zeros
binary weight | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ...
n | the leftmost value is a(n)
-----------------+----------------------------------------------------
0 | - 1 - - - - - - - - - - - - - - -
1 | 0 - 2 - 4 - 6 - 8 - 10 - 12 - 14 - ...
2 | - - 2 - 4 - 6 - 8 - 10 - 12 - 14 - ...
3 | - - 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ...
4 | - - - - 4 - 6 - 8 - 10 - 12 - 14 - ...
5 | - - 2 - 4 5 6 7 8 9 10 11 12 13 14 15 ...
6 | - - - 3 4 5 6 7 8 9 10 11 12 13 14 15 ...
7 | - - - - 4 5 6 7 8 9 10 11 12 13 14 15 ...
8 | - - - 3 4 5 6 7 8 9 10 11 12 13 14 15 ...
9 | - - - - 4 5 6 7 8 9 10 11 12 13 14 15 ...
10 | - - - - - 5 6 7 8 9 10 11 12 13 14 15 ...
11 | - - - - - 5 6 7 8 9 10 11 12 13 14 15 ...
12 | - - - - - 5 6 7 8 9 10 11 12 13 14 15 ...
13 | - - 2 - 4 - 6 7 8 9 10 11 12 13 14 15 ...
14 | - - - - - 5 6 7 8 9 10 11 12 13 14 15 ...
: | ...
Links
- Karl-Heinz Hofmann, Table (like in example) with n = 0..57