A134349 Triangle read by rows: T(n,m) = 2^(m+1)*binomial(n,m) if m!=n, and T(n,n) = 2^(n+2)-3 .

1, 2, 5, 2, 8, 13, 2, 12, 24, 29, 2, 16, 48, 64, 61, 2, 20, 80, 160, 160, 125, 2, 24, 120, 320, 480, 384, 253, 2, 28, 168, 560, 1120, 1344, 896, 509, 2, 32, 224, 896, 2240, 3584, 3584, 2048, 1021, 2, 36, 288, 1344, 4032, 8064, 10752, 9216, 4608, 2045, 2, 40, 360, 1920, 6720, 16128, 26880, 30720, 23040, 10240, 4093

Offset

0,2

Comments

Row sums = A134350.

Right border T(n,n) = A036563(n+2); i.e., starting with its "1".

The original definition was lower triangular matrix product A007318^(-1) * (A007318*A124929 + A124929*A007318 - A007318), which is incorrect. - Zhuorui He, Sep 13 2025

Links

Zhuorui He, Rows 0..149 of triangle, flattened

Example

First few rows of the triangle:
  1;
  2,  5;
  2,  8, 13;
  2, 12, 24,  29;
  2, 16, 48,  64,  61;
  2, 20, 80, 160, 160, 125;
  ...

Crossrefs

Cf. A124929, A134350, A036563.

Sequence in context: A292584 A029621 A240223 * A354709 A131201 A131711

Adjacent sequences: A134346 A134347 A134348 * A134350 A134351 A134352

Keyword

nonn,tabl

Author

Gary W. Adamson, Oct 21 2007

Extensions

Name edited and incorrect a(10)-a(13) deleted by Zhuorui He, Sep 09 2025

Status

approved