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A127244 A Thue-Morse signed falling factorial triangle. +0
5
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; listen)
OFFSET

0,1

COMMENT

Inverse of A127243. Row sums are A127245.

FORMULA

Number triangle T(n,k)=(-1)^(n-k)*Product{j=0..n-k-1,A010060(n-j)}*[k<=n]

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

CROSSREFS

Sequence in context: A082551 A127507 A127247 this_sequence A111940 A129572 A070950

Adjacent sequences: A127241 A127242 A127243 this_sequence A127245 A127246 A127247

KEYWORD

easy,tabl,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 10 2007

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Last modified September 7 15:18 EDT 2008. Contains 143483 sequences.


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