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A144092 Triangle of Hankel transforms of sequence array of C(n,floor(n/2)) 1
1, 1, 1, 1, 0, 1, 1, -1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, -4, 2, 1, 1, 0, 3, 0, 10, 0, 1, 1, -1, 3, 9, 15, -25, 5, 1, 1, 0, 4, 0, 42, 0, 70, 0, 1, 1, 1, 4, -16, 56, 196, 196, -196, 14, 1, 1, 0, 5, 0, 120, 0, 1176 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,13
COMMENTS
The parity matrix A144093 of this array seems to have row sums A061338(n+1).
LINKS
FORMULA
Triangle (-1)^C(k+1,2)*H(n,k) where the k-th column of H(n,k) is the Hankel transform of the k-th column of the array [k<=n]*C(n-k,floor((n-k)/2).
EXAMPLE
Triangle begins
1,
1, 1,
1, 0, 1,
1, -1, 1, 1,
1, 0, 2, 0, 1,
1, 1, 2, -4, 2, 1,
1, 0, 3, 0, 10, 0, 1,
1, -1, 3, 9, 15, -25, 5, 1,
1, 0, 4, 0, 42, 0, 70, 0, 1,
1, 1, 4, -16, 56, 196, 196, -196, 14, 1,
1, 0, 5, 0, 120, 0, 1176, 0, 588, 0, 1
CROSSREFS
Sequence in context: A121303 A166396 A152221 * A333467 A120648 A215401
KEYWORD
easy,sign,tabl
AUTHOR
Paul Barry, Sep 10 2008
STATUS
approved

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Last modified May 29 04:26 EDT 2024. Contains 372921 sequences. (Running on oeis4.)