A291929 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, 9, 2, 0, 20, 6, 0, 46, 13, 1, 0, 105, 32, 2, 0, 242, 73, 6, 0, 557, 171, 15, 0, 1285, 394, 36, 1, 0, 2964, 914, 85, 2, 0, 6842, 2109, 201, 6, 0, 15793, 4877, 467, 15, 0, 36463, 11261, 1086, 38, 0, 84187, 26014, 2517, 89, 1, 0, 194388

Offset

0,5

Links

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

Example

First few rows are:
  1;
  0,    1;
  0,    2;
  0,    4,   1;
  0,    9,   2;
  0,   20,   6;
  0,   46,  13,  1;
  0,  105,  32,  2;
  0,  242,  73,  6;
  0,  557, 171, 15;
  0, 1285, 394, 36, 1.

Crossrefs

Row sums give A291930.

Columns 0-1 give A000007, A006958 (for n>0).

Cf. A008289, A291895.

Sequence in context: A144258 A056859 A272098 * A327807 A188448 A370412

Adjacent sequences: A291926 A291927 A291928 * A291930 A291931 A291932

Keyword

nonn,tabf

Author

Seiichi Manyama, Sep 06 2017

Status

approved