A136579 Triangle read by rows: A128174 * A136572.

1, 0, 1, 1, 0, 2, 0, 1, 0, 6, 1, 0, 2, 0, 24, 0, 1, 0, 6, 0, 120, 1, 0, 2, 0, 24, 0, 720, 0, 1, 0, 6, 0, 120, 0, 5040, 1, 0, 2, 0, 24, 0, 720, 0, 40320

Offset

0,6

Comments

Row sums = A136580: 1, 1, 3, 7, 27, 127, ...

Links

Table of n, a(n) for n=0..44.

Formula

A128174 * A136572 Triangle, even rows = even n! interspersed with zeros. Odd n rows, = odd n! interspersed with zeros.

T(2*i,2*k) = (2*k)! = A010050(k). T(2*i+1,2*k+1) = (2*k+1)! = A009445(k). - R. J. Mathar, Jun 04 2021

Example

First few rows of the triangle:
  1;
  0, 1;
  1, 0, 2;
  0, 1, 0, 6;
  1, 0, 2, 0, 24;
  0, 1, 0, 6,  0, 120;
  1, 0, 2, 0, 24,   0, 720;
  ...

Crossrefs

Cf. A136580, A128174, A136572, A000142.

Sequence in context: A112227 A166378 A249820 * A249731 A335125 A335022

Adjacent sequences: A136576 A136577 A136578 * A136580 A136581 A136582

Keyword

nonn,easy,tabl

Author

Gary W. Adamson, Jan 09 2008

Status

approved