A117901 Inverse of number triangle A117898.

1, -1, 1, 0, -2, 1, 0, 3, -2, 1, 0, 0, 0, -1, 1, 0, -6, 3, 0, -2, 1, 0, 12, -6, 0, 3, -2, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -24, 12, 0, -6, 3, 0, -2, 1, 0, 48, -24, 0, 12, -6, 0, 3, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -96, 48, 0, -24, 12, 0, -6, 3, 0, -2, 1, 0, 192, -96, 0, 48, -24, 0, 12, -6, 0, 3, -2, 1

Offset

0,5

Comments

Row sums are A117902. Diagonal sums are A117903.

Links

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

Formula

G.f.:(2x^6*y^2+x^5*y(2-y)+4x^4(1-y)-x^3(2y^2-3y+4)+x^2*y(y-2)+x(y-1)+1)/((1-4x^3)(1-x^3*y^3))

Example

Triangle begins
1,
-1, 1,
0, -2, 1,
0, 3, -2, 1,
0, 0, 0, -1, 1,
0, -6, 3, 0, -2, 1,
0, 12, -6, 0, 3, -2, 1,
0, 0, 0, 0, 0, 0, -1, 1,
0, -24, 12, 0, -6, 3, 0, -2, 1,
0, 48, -24, 0, 12, -6, 0, 3, -2, 1

Crossrefs

Sequence in context: A131358 A291895 A177351 * A074984 A112658 A190693

Adjacent sequences: A117898 A117899 A117900 * A117902 A117903 A117904

Keyword

easy,sign,tabl

Author

Paul Barry, Apr 01 2006

Status

approved