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A111887 Seventh column of triangle A112492 (inverse scaled Pochhammer symbols). 1
1, 13068, 104587344, 673781602752, 3878864920694016, 21006340945438768128, 110019668725577574273024, 565858042127972959667208192, 2882220940619488483325345857536, 14605752814655604919042956624396288 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also continuation of family of differences of reciprocals of unity. See A001242, A111886 and triangle A008969.

LINKS

Table of n, a(n) for n=0..9.

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

FORMULA

G.f.: 1/Product_{j=1..7} 1-7!*x/j.

a(n) = -((7!)^n) * Sum_{j=1..7} (-1)^j*binomial(7, j)/j^n, n>=0.

a(n) = A112492(n+6, 7), n>=0.

PROG

(PARI) a(n) = -((7!)^n)*sum(j=1, 7, ((-1)^j)*binomial(7, j)/j^n); \\ Michel Marcus, Apr 28 2020

CROSSREFS

Also right-hand column 6 in triangle A008969.

Cf. A112492.

Cf. A001242, A111886.

Sequence in context: A256730 A234329 A165679 * A249495 A235335 A184768

Adjacent sequences:  A111884 A111885 A111886 * A111888 A111889 A111890

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 12 2005

STATUS

approved

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Last modified July 7 18:15 EDT 2020. Contains 335498 sequences. (Running on oeis4.)