A291971 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, 729, 243, 0, 3, 72, 432, 891

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 A032308.

Columns 0-1 give A000007, A010701.

Cf. A008289 (m=1), A291970 (m=2), this sequence (m=3).

Sequence in context: A262281 A297871 A292130 * A240923 A272727 A333791

Adjacent sequences: A291968 A291969 A291970 * A291972 A291973 A291974

Keyword

nonn,tabf,look

Author

Seiichi Manyama, Sep 07 2017

Status

approved