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Revision History for A009763

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A009763

a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1.
(history; published version)

#20 by N. J. A. Sloane at Mon Aug 24 12:01:21 EDT 2015

STATUS

editing

approved

#19 by N. J. A. Sloane at Mon Aug 24 12:01:17 EDT 2015

LINKS

Philippe Deléham, <a href="/A009763/a009763.pdf">Letter to N. J. A. Sloane, Apr 14 1997</a>

AUTHOR

Philippe Deléham, BP 29 Coconi, 97670 Ouangani, Mayotte.Apr 14 1997

STATUS

approved

editing

#18 by Vaclav Kotesovec at Sun Aug 03 11:07:30 EDT 2014

STATUS

editing

approved

#17 by Vaclav Kotesovec at Sun Aug 03 11:07:25 EDT 2014

AUTHOR

_Philippe Deleham_, Deléham_, BP 29 Coconi, 97670 Ouangani, Mayotte.

STATUS

approved

editing

#16 by Vaclav Kotesovec at Sun Aug 03 11:06:58 EDT 2014

STATUS

editing

approved

#15 by Vaclav Kotesovec at Sun Aug 03 11:06:46 EDT 2014

NAME

a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1.

COMMENTS

Related to `'logarithmic numbers'.

AUTHOR

_Philippe Deleham, _, BP 29 Coconi, 97670 Ouangani, Mayotte.

STATUS

approved

editing

#14 by Vaclav Kotesovec at Sun Aug 03 06:40:24 EDT 2014

STATUS

editing

approved

#13 by Vaclav Kotesovec at Sun Aug 03 06:39:58 EDT 2014

MATHEMATICA

Table[(n+2)!*Abs[Sum[StirlingS1[n+1, k]/(k+1), {k, 0, n+1}]], {n, 0, 20}] (* Vaclav Kotesovec, Aug 03 2014 *)

STATUS

approved

editing

#12 by N. J. A. Sloane at Sun Sep 08 19:59:04 EDT 2013

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

Discussion

Sun Sep 08

19:59

OEIS Server: https://oeis.org/edit/global/1941

#11 by N. J. A. Sloane at Fri Feb 22 14:38:02 EST 2013

FORMULA

log(2*Pi) = 1 + sum{a(n)*(2n+1)/(((n+1)!)^2*n*(n+1)); n>0} = 1.83787706... = A061444. - DELEHAM Philippe, Deléham, Jan 20 2004

Sum_{n>=0} a(n)/((n+1)*(n+1)!*(n+2)!) = Euler constant gamma = 0.5772156649... = A001620. - DELEHAM Philippe, Deléham, Feb 26 2004

Discussion

Fri Feb 22

14:38

OEIS Server: https://oeis.org/edit/global/1863