A130323 A007318^(-1) * A130322.

1, 3, 1, 5, 2, 1, 7, 3, 1, 1, 9, 4, 2, 0, 1, 11, 5, 2, 2, -1, 1, 13, 6, 3, 0, 3, -2, 1, 15, 7, 3, 3, -3, 5, -3, 1, 17, 8, 4, 0, 6, -8, 8, -4, 1, 19, 9, 4, 4, -6, 14, -16, 12, -5, 1

Offset

0,2

Comments

Row sums = A008574: (1, 4, 8, 12, 16, 20, 24, ...).

Links

Table of n, a(n) for n=0..54.

Formula

Inverse binomial transform of triangle A130322, as infinite lower triangular matrices.

Example

First few rows of the triangle:
   1;
   3, 1;
   5, 2, 1;
   7, 3, 1, 1;
   9, 4, 2, 0,  1;
  11, 5, 2, 2, -1,  1;
  13, 6, 3, 0,  3, -2,   1;
  15, 7, 3, 3, -3,  5,  -3,  1;
  17, 8, 4, 0,  6, -8,   8, -4,  1;
  19, 9, 4, 4, -6, 14, -16, 12, -5, 1;
  ...

Crossrefs

Cf. A130323, A007318, A008574.

Sequence in context: A212332 A371750 A131032 * A130303 A100898 A101350

Adjacent sequences: A130320 A130321 A130322 * A130324 A130325 A130326

Keyword

tabl,sign

Author

Gary W. Adamson, May 24 2007

Status

approved