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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

Table of n, a(n) for n=1..45.

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.)