A137151 Triangle read by rows: A007318 * A026794.

1, 2, 1, 5, 2, 1, 13, 4, 3, 1, 34, 9, 6, 4, 1, 88, 22, 11, 10, 5, 1, 225, 55, 22, 20, 15, 6, 1, 569, 137, 50, 36, 35, 21, 7, 1, 1425, 338, 122, 65, 70, 56, 28, 8, 1, 3538, 826, 302, 130, 127, 126, 84, 36, 9, 1, 8717, 2002, 740, 296, 221, 252, 210, 120, 45, 10, 1

Offset

1,2

Comments

Row sums = A103446: (1, 3, 8, 21, 54, 137, 344, ...).

Links

Table of n, a(n) for n=1..66.

Formula

Binomial transform of the partition triangle, A026794.

Example

First few rows of the triangle:
    1;
    2,   1;
    5,   2,  1;
   13,   4,  3,  1;
   34,   9,  6,  4,  1;
   88,  22, 11, 10,  5,  1;
  225,  55, 22, 20, 15,  6, 1;
  569, 137, 50, 36, 35, 21, 7, 1;
  ...

Crossrefs

Cf. A026794, A103446.

Sequence in context: A323953 A126075 A134032 * A328082 A048494 A047848

Adjacent sequences: A137148 A137149 A137150 * A137152 A137153 A137154

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 23 2008

Status

approved