A128586 Triangle read by rows: A007318^(-1) * A128540.

1, 0, 1, -1, 0, 2, 2, -3, -3, 3, -3, 8, 0, -7, 5, 4, -15, 10, 5, -17, 8, -5, 24, -30, 15, 27, -35, 13, 6, -35, 63, -70, -7, 77, -70, 21, -7, 48, -112, 182, -98, -84, 196, -134, 34, 8, -63, 180, -378, 378, -84, -336, 450, -251, 55, -9, 80, -270, 690, -966, 714, 210, -990, 980, -461, 89

Offset

1,6

Comments

Row sums = A128587: (1, 1, 1, -1, 3, -5, 9, -15, 25, -41, ...).

Links

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

Formula

Inverse binomial transform of A128540.

Matrix product A130595 * A128540. - Georg Fischer, Jun 01 2023

Example

First few rows of the triangle:
   1;
   0,   1;
  -1,   0,   2;
   2,  -3,  -3,   3;
  -3,   8,   0,  -7,   5;
   4, -15,  10,   5, -17,   8;
  ...

Crossrefs

Cf. A007318, A128540, A128587, A128588, A130595.

Sequence in context: A348164 A299962 A340010 * A130971 A051776 A340294

Adjacent sequences: A128583 A128584 A128585 * A128587 A128588 A128589

Keyword

tabl,sign

Author

Gary W. Adamson, Mar 11 2007

Extensions

a(33) corrected, a(42)=-84 inserted and more terms from Georg Fischer, Jun 01 2023

Status

approved