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A119832
Bi-diagonal inverse of (3n)!/(3k)!.
1
1, -6, 1, 0, -120, 1, 0, 0, -504, 1, 0, 0, 0, -1320, 1, 0, 0, 0, 0, -2730, 1, 0, 0, 0, 0, 0, -4896, 1, 0, 0, 0, 0, 0, 0, -7980, 1, 0, 0, 0, 0, 0, 0, 0, -12144, 1, 0, 0, 0, 0, 0, 0, 0, 0, -17550, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24360, 1
OFFSET
0,2
COMMENTS
Row sums are 1-A054776(n). Inverse of A119831.
FORMULA
Column k has g.f. x^k(1-b(k+1)x) where b(n)=3n(3n-2)(3n-1)=A054776(n).
EXAMPLE
Triangle begins
1,
-6, 1,
0, -120, 1,
0, 0, -504, 1,
0, 0, 0, -1320, 1,
0, 0, 0, 0, -2730, 1,
0, 0, 0, 0, 0, -4896, 1,
0, 0, 0, 0, 0, 0, -7980, 1,
0, 0, 0, 0, 0, 0, 0, -12144, 1,
0, 0, 0, 0, 0, 0, 0, 0, -17550, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, -24360, 1
CROSSREFS
Sequence in context: A137388 A302971 A114153 * A166141 A087253 A197686
KEYWORD
easy,sign,tabl
AUTHOR
Paul Barry, May 25 2006
STATUS
approved