A291942 -id:A291942 - cp's OEIS frontend

A291940 Triangle read by rows: T(n,k) = T(n-k,k-1) - 2*T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).

1, 0, 1, 0, -2, 0, 4, 1, 0, -7, -2, 0, 12, 2, 0, -22, -3, 1, 0, 41, 8, -2, 0, -74, -15, 2, 0, 133, 23, -5, 0, -243, -42, 12, 1, 0, 444, 82, -19, -2, 0, -806, -147, 33, 2, 0, 1465, 261, -65, -5, 0, -2669, -479, 118, 10, 0, 4859, 878, -211, -15, 1, 0, -8840, -1593, 386

Offset: 0

Seiichi Manyama, Sep 06 2017

			First few rows are:
  1;
  0,    1;
  0,   -2;
  0,    4,   1;
  0,   -7,  -2;
  0,   12,   2;
  0,  -22,  -3,  1;
  0,   41,   8, -2;
  0,  -74, -15,  2;
  0,  133,  23, -5;
  0, -243, -42, 12, 1.

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

Row sums give A291942.
Columns 0-1 give A000007, (-1)*A275762 (for n>0).
Cf. A008289, A291895, A291929.

A291958 Row sums of A291957.

Original entry on oeis.org

1, 1, -1, 2, -1, -1, 3, -2, 0, 2, -3, 2, 2, -4, 2, 2, -5, 5, 0, -6, 7, -1, -6, 9, -5, -5, 12, -9, -1, 12, -12, 0, 12, -15, 4, 13, -19, 9, 11, -22, 13, 9, -27, 21, 5, -28, 29, -1, -30, 34, -8, -29, 44, -18, -28, 51, -28, -22, 57, -42, -16, 63, -53, -6, 66, -70, 7, 67

Offset: 0

Seiichi Manyama, Sep 06 2017

sign

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Cf. A291942.

cp's OEIS Frontend

A291940 Triangle read by rows: T(n,k) = T(n-k,k-1) - 2*T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).

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