The On-Line Encyclopedia of Integer Sequences (OEIS)

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A097680

E.g.f.: (1/(1-x^5))*exp( 5*sum_{i>=0} x^(5*i+1)/(5*i+1) ) for an order-5 linear recurrence with varying coefficients.
(history; published version)

#17 by N. J. A. Sloane at Sat Feb 27 13:20:38 EST 2021

LINKS

Benoit Cloitre, <a href="/A097679/a097679.pdf">On a generalization of Euler-Gauss formula for the Gamma function</a>, pre-print preprint 2004.

Discussion

Sat Feb 27

13:20

OEIS Server: https://oeis.org/edit/global/2892

#16 by N. J. A. Sloane at Sat Feb 27 13:12:00 EST 2021

LINKS

Benoit Cloitre, <a href="http://plouffe.fr/OEIS/archive_in_pdfA097679/CloitreGammaConstantsa097679.pdf">On a generalization of Euler-Gauss formula for the Gamma function</a>, pre-print 2004.

Discussion

Sat Feb 27

13:12

OEIS Server: https://oeis.org/edit/global/2891

#15 by Georg Fischer at Sat Feb 27 05:31:47 EST 2021

STATUS

editing

approved

#14 by Georg Fischer at Sat Feb 27 05:31:41 EST 2021

LINKS

Benoit Cloitre, <a href="http://www.lacim.uqam.ca/~plouffe.fr/OEIS/archive_in_pdf/CloitreGammaConstants.pdf">On a generalization of Euler-Gauss formula for the Gamma function</a>, pre-print 2004.

STATUS

approved

editing

#13 by Bruno Berselli at Thu Aug 01 10:16:51 EDT 2013

STATUS

proposed

approved

#12 by Michel Marcus at Thu Aug 01 10:15:02 EDT 2013

STATUS

editing

proposed

#11 by Michel Marcus at Thu Aug 01 10:14:58 EDT 2013

EXAMPLE

The sequence {1, 5, 25/2!, 125/3!, 625/4!, 3245/5!, 19825/6!, 162125/7!,...} is generated by a recursion described by Benoit Cloitre's generalized Euler-Gauss formula for the Gamma function (see Cloitre link).

is generated by a recursion described by Benoit Cloitre's generalized

Euler-Gauss formula for the Gamma function (see Cloitre link).

STATUS

approved

editing

#10 by T. D. Noe at Mon Jul 15 17:29:08 EDT 2013

STATUS

proposed

approved

#9 by Mohammad K. Azarian at Mon Jul 15 15:35:44 EDT 2013

STATUS

editing

proposed

#8 by Mohammad K. Azarian at Mon Jul 15 15:29:09 EDT 2013

REFERENCES

Mohammad K. Azarian, Problem 1218, Pi Mu Epsilon Journal, Vol. 13, No. 2, Spring 2010, p. 116. Solution published in Vol. 13, No. 3, Fall 2010, pp. 183-185.

STATUS

approved

editing