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A292142
Triangle read by rows: T(n,k) = (-4)^(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, -4, 0, -4, 0, -4, -4, 0, -4, -4, 0, -4, -8, 0, -4, -8, 16, 0, -4, -12, 16, 0, -4, -12, 32, 0, -4, -16, 48, 0, -4, -16, 64, 16, 0, -4, -20, 80, 16, 0, -4, -20, 112, 32, 0, -4, -24, 128, 48, 0, -4, -24, 160, 80, 0, -4, -28, 192, 96, -64, 0, -4, -28, 224, 144
OFFSET
0,3
LINKS
EXAMPLE
First few rows are:
1;
0, -4;
0, -4;
0, -4, -4;
0, -4, -4;
0, -4, -8;
0, -4, -8, 16;
0, -4, -12, 16;
0, -4, -12, 32;
0, -4, -16, 48;
0, -4, -16, 64, 16.
CROSSREFS
Row sums give A292135.
Columns 0-1 give A000007, (-4)*A000012.
Cf. A292047.
Sequence in context: A035673 A035638 A347156 * A345450 A098002 A241658
KEYWORD
sign,tabf
AUTHOR
Seiichi Manyama, Sep 09 2017
STATUS
approved