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A292143 revision #14

A292143
Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
2
1, 0, 1, 0, 1, 0, 1, -4, 0, 1, -4, 0, 1, -8, 0, 1, -8, -4, 0, 1, -12, -4, 0, 1, -12, -8, 0, 1, -16, -12, 0, 1, -16, -16, 16, 0, 1, -20, -20, 16, 0, 1, -20, -28, 32, 0, 1, -24, -32, 48, 0, 1, -24, -40, 80, 0, 1, -28, -48, 96, 16, 0, 1, -28, -56, 144, 16, 0, 1, -32
OFFSET
0,8
LINKS
EXAMPLE
First few rows are:
1;
0, 1;
0, 1;
0, 1, -4;
0, 1, -4;
0, 1, -8;
0, 1, -8, -4;
0, 1, -12, -4;
0, 1, -12, -8;
0, 1, -16, -12;
0, 1, -16, -16, 16.
CROSSREFS
Row sums give A292141.
Columns 0-1 give A000007, A000012.
Cf. A292049.
Sequence in context: A176803 A115636 A115715 * A350824 A281441 A213600
KEYWORD
sign,tabf
AUTHOR
Seiichi Manyama, Sep 09 2017
STATUS
approved