OFFSET
1
COMMENTS
It is conjectured that 1 together with infinitely many copies of the n-th row gives the n-th column of the triangle A364639.
Row n has n blocks and every block has n + 1 terms.
In the n-th row its m-th block lists n - m zeros, 1, m - 1 zeros, and the last term of the block is -1 except in the n-th block, in which the last term is zero, with 1 <= m <= n.
Thus in the n-th row the number of -1's is equal to n - 1, the number of zeros is equal to A002061(n) and the number of 1's is equal to n.
EXAMPLE
Triangle begins:
1,0;
0,1,-1,1,0,0;
0,0,1,-1,0,1,0,-1,1,0,0,0;
0,0,0,1,-1,0,0,1,0,-1,0,1,0,0,-1,1,0,0,0,0;
0,0,0,0,1,-1,0,0,0,1,0,-1,0,0,1,0,0,-1,0,1,0,0,0,-1,1,0,0,0,0,0;
...
Also the triangle can be written showing the n blocks in the n-th row as shown below:
1, 0;
0,1,-1, 1,0, 0;
0,0,1,-1, 0,1,0,-1, 1,0,0, 0;
0,0,0,1,-1, 0,0,1,0,-1, 0,1,0,0,-1, 1,0,0,0, 0;
0,0,0,0,1,-1, 0,0,0,1,0,-1, 0,0,1,0,0,-1, 0,1,0,0,0,-1, 1,0,0,0,0, 0;
...
CROSSREFS
KEYWORD
sign,tabf
AUTHOR
Omar E. Pol, Aug 05 2023
STATUS
approved