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A111888 Eighth column of triangle A112492 (inverse scaled Pochhammer symbols). 1
1, 109584, 7245893376, 381495483224064, 17810567950611972096, 778101042571221893382144, 32762625292956765972873609216, 1351813956241264848815287984717824 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also continuation of family of Differences of reciprocals of unity. See A001242, A111887 and triangle A008969.

LINKS

Table of n, a(n) for n=0..7.

Mircea Merca, Some experiments with complete and elementary symmetric functions, Periodica Mathematica Hungarica, 69 (2014), 182-189.

FORMULA

G.f.: 1/Product_{j=1..8} 1-8!*x/j.

a(n) = -((8!)^n) * Sum_{j=1..8} (-1)^j*binomial(8, j)/j^n, n>=0.

a(n) = A112492(n+7, 8), n>=0.

PROG

(PARI) a(n) = -((8!)^n)*sum(j=1, 8, ((-1)^j)*binomial(8, j)/j^n); \\ Michel Marcus, Apr 28 2020

CROSSREFS

Also right-hand column 7 in triangle A008969.

Cf. A112492.

Cf. A001242, A111887.

Sequence in context: A237963 A234700 A238061 * A183770 A023349 A138722

Adjacent sequences:  A111885 A111886 A111887 * A111889 A111890 A111891

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 12 2005

STATUS

approved

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Last modified September 19 02:54 EDT 2020. Contains 337175 sequences. (Running on oeis4.)