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Search: id:A009763
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| A009763 |
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a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1 |
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+0
1
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| 1, 1, 6, 76, 1620, 51780, 2310000, 136898496, 10393064640, 982930939200, 113269208976000, 15619762139984640, 2539231615282602240, 480507998223110457600, 104704722014993388288000
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Related to `logarithmic numbers'.
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FORMULA
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log(2*Pi) = 1 + sum{a(n)*(2n+1)/(((n+1)!)^2*n*(n+1)); n>0} = 1.83787706... - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 20 2004
Sum_{n>=0} a(n)/((n+1)*(n+1)!*(n+2)!) = Euler constant gamma = 0.5772156649... - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 26 2004
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PROGRAM
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(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))
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CROSSREFS
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a(n)=(n+1)!*(n+2)!*A002206/A002207(n).
Adjacent sequences: A009760 A009761 A009762 this_sequence A009764 A009765 A009766
Sequence in context: A030044 A145165 A132613 this_sequence A028979 A082629 A154642
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KEYWORD
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nonn
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AUTHOR
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Philippe Deleham, BP 29 Coconi, 97670 Ouangani, Mayotte.
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EXTENSIONS
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Better description and more terms from Joe Keane (jgk(AT)jgk.org), Aug 13 2002
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