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A116405
Triangle whose k-th column has e.g.f. sum{j=0..k, (-1)^j*Bessel_I(k+j,2x)}.
2
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
0,4
COMMENTS
Alternating sign version of A116399. Row sums are A116406. Product of A007318 and this triangle is A116407.
EXAMPLE
Triangle begins
1,
0, 1,
2, -1, 1,
0, 3, -1, 1,
6, -4, 5, -1, 1,
0, 10, -5, 6, -1, 1
CROSSREFS
Sequence in context: A326925 A129334 A116399 * A281048 A340031 A029352
KEYWORD
easy,sign,tabl
AUTHOR
Paul Barry, Feb 13 2006
STATUS
approved