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 A191936 Triangle read by rows of Legendre-Stirling numbers of the first kind. 2
 1, 1, 0, 1, -2, 0, 1, -8, 12, 0, 1, -20, 108, -144, 0, 1, -40, 508, -2304, 2880, 0, 1, -70, 1708, -17544, 72000, -86400, 0, 1, -112, 4648, -89280, 808848, -3110400, 3628800, 0, 1, -168, 10920, -349568, 5808528, -48405888, 177811200, -203212800, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Apparently this is the mirror of triangle A129467. - Omar E. Pol, Jan 10 2012 LINKS G. E. Andrews, W. Gawronski and L. L. Littlejohn, The Legendre-Stirling Numbers G. E. Andrews et al., The Legendre-Stirling numbers, Discrete Math., 311 (2011), 1255-1272. J. Pan, Convolution Properties of the Generalized Stirling Numbers and the Jacobi-Stirling Numbers of the First Kind, Journal of Integer Sequences, 16 (2013), #13.9.2. EXAMPLE Triangle begins: 1 1 0 1 -2 0 1 -8 12 0 1 -20 108 -144 0 1 -40 508 -2304 2880 0 1 -70 1708 -17544 72000 -86400 0 1 -112 4648 -89280 808848 -3110400 3628800 0 ... CROSSREFS Cf. A191935. Sequence in context: A055141 A055140 A335330 * A327090 A021836 A255306 Adjacent sequences:  A191933 A191934 A191935 * A191937 A191938 A191939 KEYWORD sign,tabl AUTHOR N. J. A. Sloane, Jun 19 2011 EXTENSIONS More terms from Omar E. Pol, Jan 10 2012 STATUS approved

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Last modified April 18 05:11 EDT 2021. Contains 343072 sequences. (Running on oeis4.)