A291957 Triangle read by rows: T(n,k) = T(n-k,k-1) - T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, 1, 0, -1, 0, 1, 1, 0, 0, -1, 0, -1, 0, 0, 1, 1, 1, 0, 0, -1, -1, 0, -1, 1, 0, 0, 2, 0, 0, 0, -2, -2, 0, 1, 0, 0, 2, 1, -1, 0, 2, 0, 0, 0, 0, -2, -1, -1, 0, 0, 1, 2, 0, -1, 0, 1, -2, 0, 2, 1, 0, -3, -1, 0, 0, -1, 0, 2, 3, 1, -1, 0, 0, 1, -2, 0, 1, 0, 0, -3, 0

Offset

0,28

Links

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

Example

First few rows are:
  1;
  0,  1;
  0, -1;
  0,  1,  1;
  0,  0, -1;
  0, -1,  0;
  0,  1,  1,  1;
  0,  0, -1, -1;
  0, -1,  1,  0;
  0,  2,  0,  0;
  0, -2, -2,  0, 1.

Crossrefs

Row sums give A291958.

Columns 0-1 give A000007, (-1)*A111165 (for n>0).

Sequence in context: A216228 A372602 A374202 * A143063 A210703 A340455

Adjacent sequences: A291954 A291955 A291956 * A291958 A291959 A291960

Keyword

sign,tabf

Author

Seiichi Manyama, Sep 06 2017

Status

approved