The On-Line Encyclopedia of Integer Sequences (OEIS)

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A000906

Exponential generating function: 2*(1+3*x)/(1-2*x)^(7/2).
(history; published version)

#50 by Charles R Greathouse IV at Thu Sep 08 08:44:28 EDT 2022

PROG

(MAGMAMagma) [Factorial(2*n+3)/(6*Factorial(n)*2^(n-1)): n in [0..30]]; // G. C. Greubel, May 15 2018

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#49 by Bruno Berselli at Sat Apr 18 14:34:11 EDT 2020

STATUS

proposed

approved

#48 by Michel Marcus at Sat Apr 18 12:22:56 EDT 2020

STATUS

editing

proposed

#47 by Michel Marcus at Sat Apr 18 12:22:52 EDT 2020

REFERENCES

C. Jordan, On Stirling's Numbers, Tohoku Math. J., 37 (1933), 254-278.

LINKS

C. Jordan, <a href="https://www.jstage.jst.go.jp/article/tmj1911/37/0/37_0_254/_pdf">On Stirling's Numbers</a>, Tohoku Math. J., 37 (1933), 254-278.

STATUS

approved

editing

#46 by Bruno Berselli at Wed May 16 03:49:22 EDT 2018

STATUS

reviewed

approved

#45 by Michel Marcus at Wed May 16 00:17:11 EDT 2018

STATUS

proposed

reviewed

#44 by G. C. Greubel at Tue May 15 23:56:54 EDT 2018

STATUS

editing

proposed

#43 by G. C. Greubel at Tue May 15 23:56:46 EDT 2018

NAME

Exponential generating function: 2*(1+3x3*x)/(1-2x2*x)^(7/2).

FORMULA

a(n) = (2n+3)!/( 3!*n!*2^(n-1) ). - G. C. Greubel, May 15 2018

PROG

(MAGMA) [Factorial(2*n+3)/(6*Factorial(n)*2^(n-1)): n in [0..30]]; // G. C. Greubel, May 15 2018

STATUS

approved

editing

#42 by Jon E. Schoenfield at Sat Apr 01 00:17:49 EDT 2017

STATUS

editing

approved

#41 by Jon E. Schoenfield at Sat Apr 01 00:17:46 EDT 2017

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing