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).

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

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

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

Adjacent sequences: A292139 A292140 A292141 * A292143 A292144 A292145

Keyword

sign,tabf

Author

Seiichi Manyama, Sep 09 2017

Status

approved