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 A109962 Inverse of Riordan array (1/(1-x), x/(1-x)^4), A109960. 2
 1, -1, 1, 4, -5, 1, -22, 30, -9, 1, 140, -200, 72, -13, 1, -969, 1425, -570, 130, -17, 1, 7084, -10626, 4554, -1196, 204, -21, 1, -53820, 81900, -36855, 10647, -2142, 294, -25, 1, 420732, -647280, 302064, -93496, 21080, -3472, 400, -29, 1, -3362260, 5217300, -2504304, 816816, -200277, 37485, -5250, 522 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Riordan array (g,f) where f/(1-f)^4=x and g=1/(1-f). First column is (-1)^n*A002293(n). Diagonal sums are A109963. LINKS Paul Drube, Generalized Path Pairs and Fuss-Catalan Triangles, arXiv:2007.01892 [math.CO], 2020. See Figure 4 p. 8 (up to signs). FORMULA Number triangle T(n, k)=(-1)^(n-k)*((4k+1)/(3n+k+1))*binomial(4n, n-k). EXAMPLE Rows begin 1; -1,1; 4,-5,1; -22,30,-9,1; 140,-200,72,-13,1; -969,1425,-570,130,-17,1; CROSSREFS Sequence in context: A210590 A108446 A283263 * A102230 A147724 A110519 Adjacent sequences:  A109959 A109960 A109961 * A109963 A109964 A109965 KEYWORD easy,sign,tabl AUTHOR Paul Barry, Jul 06 2005 STATUS approved

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Last modified May 18 06:33 EDT 2021. Contains 343994 sequences. (Running on oeis4.)