A106346 Inverse of number triangle A106344.

1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, 1, -1, -1, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1

Offset: 0

Author

Paul Barry, Apr 29 2005

Keywords

• easy
• sign
• tabl

Comments

Rows sums are A036987 (conjecture).

Examples

			Triangle begins
1
0  1
0 -1  1
0  0  0  1
0  1 -1 -1  1
0  0  0 -1  0  1
0  0  0  0  0 -1  1
0  0  0  0  0  0  0  1
0 -1  1  1 -1  1 -1 -1  1
0  0  0  1  0 -1  0 -1  0  1
0  0  0  0  0  1 -1  0  0 -1  1
0  0  0  0  0  0  0 -1  0  0  0  1
0  0  0  0  0  0  0  0  0  1 -1 -1  1
		

Links

• George Beck and Karl Dilcher, A Matrix Related to Stern Polynomials and the Prouhet-Thue-Morse Sequence, arXiv:2106.10400 [math.CO], 2021. See (1.8) p. 3.

Crossrefs

Cf. A036987, A106344.

Extensions

Example corrected by Philippe Deléham, Jul 17 2012