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A112517 Riordan array (1,x(1+x)(1-x(1+x))). 2
1, 0, 1, 0, 0, 1, 0, -2, 0, 1, 0, -1, -4, 0, 1, 0, 0, -2, -6, 0, 1, 0, 0, 4, -3, -8, 0, 1, 0, 0, 4, 12, -4, -10, 0, 1, 0, 0, 1, 12, 24, -5, -12, 0, 1, 0, 0, 0, -5, 24, 40, -6, -14, 0, 1, 0, 0, 0, -12, -26, 40, 60, -7, -16, 0, 1, 0, 0, 0, -6, -48, -70, 60, 84, -8, -18, 0, 1, 0, 0, 0, -1, -8, -120, -145, 84, 112, -9, -20, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,8
COMMENTS
Riordan array product (1,x(1+x))*(1,x(1-x)). Row sums are A112518. Inverse is A112519.
LINKS
FORMULA
Riordan array (1, x(1-2x^2-x^3)); T(n, k)=sum{j=0..n, C(j, n-j)C(k, j-k)(-1)^(j-k)}.
EXAMPLE
Triangle begins
.1;
.0,1;
.0,0,1;
.0,-2,0,1;
.0,-1,-4,0,1;
.0,0,-2,-6,0,1;
CROSSREFS
Sequence in context: A185370 A352747 A364955 * A112519 A276981 A230305
KEYWORD
easy,sign,tabl
AUTHOR
Paul Barry, Sep 09 2005
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)