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 A124821 Number triangle T(n,k)=(-1)^(n-k)*(3k+2)*C(3n+1, n-k)/(2n+k+2). 1
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Inverse of number triangle A124819. Row sums are (-1)^n*A001764(n). LINKS 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 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 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

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Last modified September 27 17:05 EDT 2021. Contains 347693 sequences. (Running on oeis4.)