The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A295383 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A295383

a(n) = (2*n)! * [x^(2*n)] (-x/(1 - x))^n/((1 - x)*n!).
(history; published version)

#20 by Charles R Greathouse IV at Thu Sep 08 08:46:20 EDT 2022

PROG

(MAGMAMagma) R:= RealField(); [Round((-16)^n*Gamma(n+1/2)^2/(Pi(R)*Gamma(n+1) )): n in [0..30]]; // G. C. Greubel, Feb 06 2018

Discussion

Thu Sep 08

08:46

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

#19 by Alois P. Heinz at Sat Oct 02 17:29:55 EDT 2021

STATUS

editing

approved

#18 by Alois P. Heinz at Sat Oct 02 17:29:24 EDT 2021

FORMULA

a(n) = (-1)^n*binomial(2*n,n)^2*n!. - Alois P. Heinz, Oct 02 2021

STATUS

approved

editing

#17 by Alois P. Heinz at Thu Jun 14 07:52:02 EDT 2018

STATUS

editing

approved

#16 by Alois P. Heinz at Thu Jun 14 05:27:10 EDT 2018

CROSSREFS

Cf. A144084.

STATUS

approved

editing

#15 by Joerg Arndt at Fri Feb 09 03:20:04 EST 2018

STATUS

reviewed

approved

#14 by Michel Marcus at Wed Feb 07 12:47:44 EST 2018

STATUS

proposed

reviewed

#13 by G. C. Greubel at Tue Feb 06 23:31:19 EST 2018

STATUS

editing

proposed

#12 by G. C. Greubel at Tue Feb 06 23:31:07 EST 2018

LINKS

G. C. Greubel, <a href="/A295383/b295383.txt">Table of n, a(n) for n = 0..300</a>

MATHEMATICA

Table[(-16)^n*Gamma[n + 1/2]^2/(Pi*Gamma[n + 1]), {n, 0, 50}] (* G. C. Greubel, Feb 06 2018 *)

PROG

(PARI) for(n=0, 30, print1(round((-16)^n*gamma(n+1/2)^2/(Pi*gamma(n+1))), ", ")) \\ G. C. Greubel, Feb 06 2018

(MAGMA) R:= RealField(); [Round((-16)^n*Gamma(n+1/2)^2/(Pi(R)*Gamma(n+1) )): n in [0..30]]; // G. C. Greubel, Feb 06 2018

STATUS

approved

editing

#11 by N. J. A. Sloane at Tue Nov 21 19:48:37 EST 2017

STATUS

proposed

approved