A316354 Triangle read by rows: T(1,1)=1, T(n,k) = T(n,k+1)+T(n-k,max(2*floor(k/2)-1,1)) and T(n,k) = 0 if k > A316355(n).

1, 1, 2, 1, 4, 2, 1, 7, 3, 1, 13, 6, 2, 24, 11, 4, 45, 21, 8, 1, 84, 39, 15, 2, 1, 156, 72, 27, 3, 1, 291, 135, 51, 6, 2, 543, 252, 96, 12, 4, 1013, 470, 179, 23, 8, 1889, 876, 333, 42, 15, 3524, 1635, 622, 79, 28, 1, 6575, 3051, 1162, 149, 53, 2, 1, 12266, 5691

Offset

1,3

Links

Seiichi Manyama, Rows n = 1..402, flattened

Example

  n\k |   1   2   3  4  5
  ----+-------------------
   1  |   1;
   2  |   1;
   3  |   2,  1;
   4  |   4,  2,  1;
   5  |   7,  3,  1;
   6  |  13,  6,  2;
   7  |  24, 11,  4;
   8  |  45, 21,  8, 1;
   9  |  84, 39, 15, 2, 1;
  10  | 156, 72, 27, 3, 1;

Crossrefs

Columns 1,2 give A224704, A316356 (for n>0).

Cf. A052928, A288267, A316355.

Sequence in context: A084534 A345877 A165899 * A104582 A209439 A133938

Adjacent sequences: A316351 A316352 A316353 * A316355 A316356 A316357

Keyword

nonn,tabf

Author

Seiichi Manyama, Jun 30 2018

Status

approved