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A115718 Inverse of number triangle A115717; a divide-and-conquer related triangle. 0
1, 0, 1, -3, 1, 1, 0, 0, 0, 1, -3, -3, 1, 1, 1, 0, 0, 0, 0, 0, 1, -3, -3, -3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, -3, -3, -3, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Product of A115713 and (1/(1-x),x). Row sums are 1,1,-1,1,-3,1,-5,1,-7,1,... with g.f. (1+x-3x^2-x^3)/(1-x^2)^2. Row sums of inverse are A115716.

LINKS

Table of n, a(n) for n=0..112.

EXAMPLE

Triangle begins

1,

0, 1,

-3, 1, 1,

0, 0, 0, 1,

-3, -3, 1, 1, 1,

0, 0, 0, 0, 0, 1,

-3, -3, -3, 1, 1, 1, 1,

0, 0, 0, 0, 0, 0, 0, 1,

-3, -3, -3, -3, 1, 1, 1, 1, 1,

0, 0, 0, 0, 0, 0, 0, 0, 0, 1,

-3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1,

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,

-3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1,

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,

-3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1

CROSSREFS

Sequence in context: A338211 A115717 A339632 * A204181 A204242 A211313

Adjacent sequences:  A115715 A115716 A115717 * A115719 A115720 A115721

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Jan 29 2006

STATUS

approved

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Last modified May 6 05:03 EDT 2021. Contains 343580 sequences. (Running on oeis4.)