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A124821

Number triangle T(n,k)=(-1)^(n-k)*(3k+2)*C(3n+1, n-k)/(2n+k+2).

1, -2, 1, 7, -5, 1, -30, 25, -8, 1, 143, -130, 52, -11, 1, -728, 700, -320, 88, -14, 1, 3876, -3876, 1938, -627, 133, -17, 1, -21318, 21945, -11704, 4235, -1078, 187, -20, 1, 120175, -126500, 70840, -27830, 8050, -1700

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OFFSET

0,2

COMMENTS

Inverse of number triangle A124819. Row sums are (-1)^n*A001764(n).

LINKS

Table of n, a(n) for n=0..41.

Paul Drube, Generalized Path Pairs and Fuss-Catalan Triangles, arXiv:2007.01892 [math.CO], 2020. See Figure 4 p. 8. (up to signs).

EXAMPLE

Triangle begins

-2, 1,

7, -5, 1,

-30, 25, -8, 1,

143, -130, 52, -11, 1,

-728, 700, -320, 88, -14, 1,

3876, -3876, 1938, -627, 133, -17, 1

CROSSREFS

Cf. A124019.

Sequence in context: A339000 A248811 A048505 * A104030 A206533 A262057

Adjacent sequences: A124818 A124819 A124820 * A124822 A124823 A124824

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Nov 08 2006

STATUS

approved

URL: https://oeis.org/A124821

⇱ A124821 - OEIS