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A009763 a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1. 2
1, 1, 6, 76, 1620, 51780, 2310000, 136898496, 10393064640, 982930939200, 113269208976000, 15619762139984640, 2539231615282602240, 480507998223110457600, 104704722014993388288000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Related to 'logarithmic numbers'.
LINKS
FORMULA
log(2*Pi) = 1 + sum{a(n)*(2n+1)/(((n+1)!)^2*n*(n+1)); n>0} = 1.83787706... = A061444. - Philippe Deléham, Jan 20 2004
Sum_{n>=0} a(n)/((n+1)*(n+1)!*(n+2)!) = Euler constant gamma = 0.5772156649... = A001620. - Philippe Deléham, Feb 26 2004
MATHEMATICA
Table[(n+2)!*Abs[Sum[StirlingS1[n+1, k]/(k+1), {k, 0, n+1}]], {n, 0, 20}] (* Vaclav Kotesovec, Aug 03 2014 *)
PROG
(PARI) a(n)=local(A); if(n<0, 0, n++; A=x/log(1-x+x^2*O(x^n)); n!*(n+1)!*polcoeff(A, n))
CROSSREFS
a(n)=(n+1)!*(n+2)!*A002206/A002207(n).
Sequence in context: A336713 A218303 A132613 * A340886 A305999 A274464
KEYWORD
nonn
AUTHOR
Philippe Deléham, Apr 14 1997
EXTENSIONS
Better description and more terms from Joe Keane (jgk(AT)jgk.org), Aug 13 2002
STATUS
approved

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)