A292130 Triangle read by rows: T(n,k) = (-3) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, -3, 0, -3, 0, -3, 9, 0, -3, 9, 0, -3, 18, 0, -3, 18, -27, 0, -3, 27, -27, 0, -3, 27, -54, 0, -3, 36, -81, 0, -3, 36, -108, 81, 0, -3, 45, -135, 81, 0, -3, 45, -189, 162, 0, -3, 54, -216, 243, 0, -3, 54, -270, 405, 0, -3, 63, -324, 486, -243, 0, -3, 63, -378

Offset

0,3

Links

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

Example

First few rows are:
  1;
  0, -3;
  0, -3;
  0, -3,  9;
  0, -3,  9;
  0, -3, 18;
  0, -3, 18,  -27;
  0, -3, 27,  -27;
  0, -3, 27,  -54;
  0, -3, 36,  -81;
  0, -3, 36, -108, 81.

Crossrefs

Row sums give A292128.

Columns 0-1 give A000007, (-1)*A010701.

Cf. A291971.

Sequence in context: A194084 A262281 A297871 * A291971 A240923 A272727

Adjacent sequences: A292127 A292128 A292129 * A292131 A292132 A292133

Keyword

sign,tabf

Author

Seiichi Manyama, Sep 09 2017

Status

approved