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A127244
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A Thue-Morse signed falling factorial triangle.
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4
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1, -1, 1, 1, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Inverse of A127243. Row sums are A127245.
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FORMULA
| Number triangle T(n,k)=(-1)^(n-k)*Product{j=0..n-k-1,A010060(n-j)}*[k<=n]
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EXAMPLE
| Triangle begins
.1,
.-1, 1,
.1, -1, 1,
.0, 0, 0, 1,
.0, 0, 0, -1, 1,
.0, 0, 0, 0, 0, 1,
.0, 0, 0, 0, 0, 0, 1,
.0, 0, 0, 0, 0, 0, -1, 1,
.0, 0, 0, 0, 0, 0, 1, -1, 1,
.0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
.0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
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CROSSREFS
| Sequence in context: A152614 A127507 A127247 * A144778 A143142 A174856
Adjacent sequences: A127241 A127242 A127243 * A127245 A127246 A127247
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KEYWORD
| easy,tabl,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 10 2007
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