A292129 Triangle read by rows: T(n,k) = (-2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, -2, 0, -2, 0, -2, 4, 0, -2, 4, 0, -2, 8, 0, -2, 8, -8, 0, -2, 12, -8, 0, -2, 12, -16, 0, -2, 16, -24, 0, -2, 16, -32, 16, 0, -2, 20, -40, 16, 0, -2, 20, -56, 32, 0, -2, 24, -64, 48, 0, -2, 24, -80, 80, 0, -2, 28, -96, 96, -32, 0, -2, 28, -112, 144, -32, 0

Offset

0,3

Links

Seiichi Manyama, Rows n = 0..481, flattened

Example

First few rows are:
  1;
  0, -2;
  0, -2;
  0, -2,  4;
  0, -2,  4;
  0, -2,  8;
  0, -2,  8,  -8;
  0, -2, 12,  -8;
  0, -2, 12, -16;
  0, -2, 16, -24;
  0, -2, 16, -32, 16.

Crossrefs

Row sums give A070877.

Columns 0-1 give A000007, (-1)*A007395.

Cf. A003056, A291970.

Sequence in context: A097974 A333753 A139036 * A291970 A281981 A159006

Adjacent sequences: A292126 A292127 A292128 * A292130 A292131 A292132

Keyword

sign,tabf

Author

Seiichi Manyama, Sep 09 2017

Status

approved