A115452 A Fredholm-Rueppel related triangle.

1, 2, -1, 2, -3, 1, 2, -3, 3, -1, 0, 0, 2, -3, 1, -2, 3, -1, -2, 3, -1, 0, 0, 0, 0, 2, -3, 1, 2, -3, 3, -1, 0, -2, 3, -1, 0, 0, 0, 0, 0, 0, 2, -3, 1, 0, 0, -2, 3, -1, 0, 0, -2, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 1, -2, 3, -1, -2, 3, -1, 0, 0, 0, -2, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 1

Offset

0,2

Comments

Inverse of A115450. Row sums are Fredholm-Rueppel sequence A036987.

Links

Table of n, a(n) for n=0..90.

Formula

Inverse of (1/((1-x)(1-2x)), -x)-(x/((1-x)(1-2x)), -x^2) (expressed in the notation of Riordan arrays).

Example

Triangle begins
1,
2, -1,
2, -3, 1,
2, -3, 3, -1,
0, 0, 2, -3, 1,
-2, 3, -1, -2, 3, -1,
0, 0, 0, 0, 2, -3, 1,
2, -3, 3, -1, 0, -2, 3, -1,
0, 0, 0, 0, 0, 0, 2, -3, 1,
0, 0, -2, 3, -1, 0, 0, -2, 3, -1,
0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 1,
-2, 3, -1, -2, 3, -1, 0, 0, 0, -2, 3, -1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 1

Crossrefs

Sequence in context: A253092 A194546 A369320 * A039676 A242359 A368485

Adjacent sequences: A115449 A115450 A115451 * A115453 A115454 A115455

Keyword

sign,tabl

Author

Paul Barry, Jan 22 2006

Status

approved