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EXAMPLE
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Triangle begins
1,
0, 1,
0, 0, 1,
0, 0, 0, 1,
1, 0, 0, 0, 1,
0, 2, 0, 0, 0, 1,
0, 0, 3, 0, 0, 0, 1,
0, 0, 0, 4, 0, 0, 0, 1,
1, 0, 0, 0, 5, 0, 0, 0, 1,
0, 3, 0, 0, 0, 6, 0, 0, 0, 1,
0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 1,
0, 0, 0, 10, 0, 0, 0, 8, 0, 0, 0, 1,
1, 0, 0, 0, 15, 0, 0, 0, 9, 0, 0, 0, 1
Production matrix of this array is
0, 1,
0, 0, 1,
0, 0, 0, 1,
1, 0, 0, 0, 1,
0, 1, 0, 0, 0, 1,
0, 0, 1, 0, 0, 0, 1,
0, 0, 0, 1, 0, 0, 0, 1,
-3, 0, 0, 0, 1, 0, 0, 0, 1,
0, -3, 0, 0, 0, 1, 0, 0, 0, 1,
0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1,
0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1,
15, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1,
0, 15, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1,
0, 0, 15, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1,
0, 0, 0, 15, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1,
-91, 0, 0, 0, 15, 0, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1
where 1,1,-3,15,-91,612,.... is (-1)^(n-1)*C(4n-1,n)/(4n-1) (see A006632).
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