A114116 1's-counting matrix: row sums give number of 1's in binary expansion of n+1.

1, 0, 1, 2, -1, 1, -1, 2, -1, 1, 1, 0, 1, -1, 1, 1, 0, 0, 1, -1, 1, 3, -2, 2, -1, 1, -1, 1, -2, 3, -2, 2, -1, 1, -1, 1, 0, 1, 0, 0, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 1, -1, 1, -1, 1, 2, -1, 2, -2, 2, -1, 1, -1, 1, -1, 1, 0, 1, -1, 2, -2, 2, -1, 1, -1, 1, -1, 1, 2, -1, 1, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, 2, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, 4, -3, 3, -2, 2

Offset

0,4

Comments

First column is -A037861(n+1). Row sums are A000120. Product of partial sum matrix (1/(1-x),x) and A114115. Inverse is A114117.

Links

Table of n, a(n) for n=0..109.

Example

Triangle begins
1;
0, 1;
2,-1, 1;
-1, 2,-1, 1;
1, 0, 1,-1, 1;
1, 0, 0, 1,-1, 1;
3,-2, 2,-1, 1,-1, 1;

Crossrefs

Sequence in context: A105242 A336709 A221362 * A054532 A260415 A370942

Adjacent sequences: A114113 A114114 A114115 * A114117 A114118 A114119

Keyword

sign,tabl

Author

Paul Barry, Nov 13 2005

Status

approved