A116405 Triangle whose k-th column has e.g.f. sum{j=0..k, (-1)^j*Bessel_I(k+j,2x)}.

1, 0, 1, 2, -1, 1, 0, 3, -1, 1, 6, -4, 5, -1, 1, 0, 10, -5, 6, -1, 1, 20, -15, 21, -7, 7, -1, 1, 0, 35, -21, 28, -8, 8, -1, 1, 70, -56, 84, -36, 37, -9, 9, -1, 1, 0, 126, -84, 120, -45, 46, -10, 10, -1, 1, 252, -210, 330, -165, 175, -56, 56, -11, 11, -1, 1

Offset: 0

Author

Paul Barry, Feb 13 2006

Keywords

• easy
• sign
• tabl

Comments

Alternating sign version of A116399. Row sums are A116406. Product of A007318 and this triangle is A116407.

Examples

			Triangle begins
1,
0, 1,
2, -1, 1,
0, 3, -1, 1,
6, -4, 5, -1, 1,
0, 10, -5, 6, -1, 1