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A292047
Triangle read by rows: T(n,k) = (-1)^k * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
3
1, 0, -1, 0, -1, 0, -1, -1, 0, -1, -1, 0, -1, -2, 0, -1, -2, 1, 0, -1, -3, 1, 0, -1, -3, 2, 0, -1, -4, 3, 0, -1, -4, 4, 1, 0, -1, -5, 5, 1, 0, -1, -5, 7, 2, 0, -1, -6, 8, 3, 0, -1, -6, 10, 5, 0, -1, -7, 12, 6, -1, 0, -1, -7, 14, 9, -1, 0, -1, -8, 16, 11, -2, 0, -1
OFFSET
0,14
LINKS
EXAMPLE
First few rows are:
1;
0, -1;
0, -1;
0, -1, -1;
0, -1, -1;
0, -1, -2;
0, -1, -2, 1;
0, -1, -3, 1;
0, -1, -3, 2;
0, -1, -4, 3;
0, -1, -4, 4, 1.
CROSSREFS
Row sums give A278399.
Columns 0-1 give A000007, (-1)*A000012.
Cf. A292049.
Sequence in context: A117170 A117466 A136266 * A292049 A320341 A054523
KEYWORD
sign,tabf,look
AUTHOR
Seiichi Manyama, Sep 08 2017
STATUS
approved