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A111887 Seventh column of triangle A112492 (inverse scaled Pochhammer symbols). 1


%S 1,13068,104587344,673781602752,3878864920694016,21006340945438768128,

%T 110019668725577574273024,565858042127972959667208192,

%U 2882220940619488483325345857536,14605752814655604919042956624396288

%N Seventh column of triangle A112492 (inverse scaled Pochhammer symbols).

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

%H Mircea Merca, <a href="https://www.researchgate.net/publication/264664262_Some_experiments_with_complete_and_elementary_symmetric_functions">Some experiments with complete and elementary symmetric functions</a>, Periodica Mathematica Hungarica, 69 (2014), 182-189.

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

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

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

%o (PARI) a(n) = -((7!)^n)*sum(j=1, 7, ((-1)^j)*binomial(7, j)/j^n); \\ _Michel Marcus_, Apr 28 2020

%Y Also right-hand column 6 in triangle A008969.

%Y Cf. A112492.

%Y Cf. A001242, A111886.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Sep 12 2005

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Last modified August 6 10:14 EDT 2020. Contains 336245 sequences. (Running on oeis4.)