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A291954
Triangle read by rows: T(n,k) = T(n-k,k-1) - T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
4
1, 0, 1, 0, -1, 0, 1, 1, 0, -1, -1, 0, 1, 0, 0, -1, 0, 1, 0, 1, 1, -1, 0, -1, -1, 0, 0, 1, 0, -1, 0, -1, 0, 2, 1, 0, 1, 1, -1, -1, 0, -1, -1, 1, 0, 0, 1, 0, -2, -1, 0, -1, 0, 2, 1, 0, 1, 1, -2, 0, 1, 0, -1, -1, 2, 1, -1, 0, 1, 0, -2, -1, 0, 0, -1, 0, 3, 1, -1, 0, 1
OFFSET
0,34
LINKS
FORMULA
G.f. of column k: x^(k*(k+1)/2) / Product_{j=1..k} (1+x^j).
EXAMPLE
First few rows are:
1;
0, 1;
0, -1;
0, 1, 1;
0, -1, -1;
0, 1, 0;
0, -1, 0, 1;
0, 1, 1, -1;
0, -1, -1, 0;
0, 1, 0, -1;
0, -1, 0, 2, 1.
CROSSREFS
Row sums give A003406.
Columns 0-1 give A000007, A062157.
Sequence in context: A037871 A037853 A255237 * A375670 A339885 A106799
KEYWORD
sign,tabf
AUTHOR
Seiichi Manyama, Sep 06 2017
STATUS
approved