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A111886 Sixth column of triangle A112492 (inverse scaled Pochhammer symbols). 2
1, 1764, 1942416, 1744835904, 1413470290176, 1083688832185344, 806595068762689536, 590914962115587293184, 429295503918929370218496, 310518802877016005311463424, 224098118280955193084850733056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

LINKS

Table of n, a(n) for n=0..10.

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

FORMULA

G.f.: 1/product(1-6!*x/j, j=1..6).

a(n) = -((6!)^n)*sum(((-1)^j)*binomial(6, j)/j^n, j=1..6), n>=0.

a(n) = A112492(n+5, 6), n>=0.

PROG

(PARI) a(n) = -((6!)^n)*sum(j=1, 6, ((-1)^j)*binomial(6, j)/j^n); \\ Michel Marcus, Apr 28 2020

CROSSREFS

Also right-hand column 5 in triangle A008969.

Sequence in context: A205904 A061627 A232554 * A031762 A031672 A031540

Adjacent sequences:  A111883 A111884 A111885 * A111887 A111888 A111889

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 12 2005

STATUS

approved

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Last modified September 19 01:52 EDT 2020. Contains 337175 sequences. (Running on oeis4.)