A128046 Triangle read by rows: inverse of the lower triangular matrix (1/1; 1/1, 1/3; 1/1, 1/3, 1/5; ...).

1, -3, 3, 0, -5, 5, 0, 0, -7, 7, 0, 0, 0, -9, 9, 0, 0, 0, 0, -11, 11, 0, 0, 0, 0, 0, -13, 13, 0, 0, 0, 0, 0, 0, -15, 15, 0, 0, 0, 0, 0, 0, 0, -17, 17, 0, 0, 0, 0, 0, 0, 0, 0, -19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23, 23

Offset

1,2

Comments

A version of an odd number transform.

Links

Table of n, a(n) for n=1..78.

Formula

Triangle read by rows, replace the right border (1, 2, 3, ...) of A126615 with (1, 3, 5, ...) and the adjacent diagonal (-2, -3, -4, ...) with (-3, -5, -7, ...).

Example

First few rows of the triangle:
   1;
  -3,  3;
   0, -5,  5;
   0,  0, -7,  7;
  ...

Prog

(PARI) tabl(nn) = 1/matrix(nn, nn, i, j, if(i>=j, 1/(2*j-1), 0));
lista(nn) = my(m=tabl(nn)); for (n=1, nn, for (k=1, n, print1(m[n, k], ", "))); \\ Michel Marcus, Feb 08 2023

Crossrefs

Cf. A126615.

Sequence in context: A096439 A256119 A217552 * A102899 A353327 A072689

Adjacent sequences: A128043 A128044 A128045 * A128047 A128048 A128049

Keyword

tabl,sign

Author

Gary W. Adamson, Feb 11 2007

Extensions

Edited by N. J. A. Sloane, Feb 26 2007

More terms from Michel Marcus, Feb 08 2023

Status

approved