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A117901 Inverse of number triangle A117898. 3
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified March 31 21:40 EDT 2023. Contains 361673 sequences. (Running on oeis4.)