The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A292440

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A292440

Expansion of (1 - x + sqrt(1 - 2*x - 3*x^2))/2 in powers of x.
(history; published version)

#33 by Charles R Greathouse IV at Thu Sep 08 08:46:19 EDT 2022

PROG

(MAGMAMagma) m:=50; R<x>:=PowerSeriesRing(Rationals(), m); Coefficients(R!((1-x +Sqrt(1-2*x-3*x^2))/2)); // G. C. Greubel, Aug 13 2018

Discussion

Thu Sep 08

08:46

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

#32 by N. J. A. Sloane at Thu Jan 30 21:29:18 EST 2020

FORMULA

D-finite with recurrence: n*a(n) +(-2*n+3)*a(n-1) +3*(-n+3)*a(n-2)=0. - R. J. Mathar, Jan 23 2020

Discussion

Thu Jan 30

21:29

OEIS Server: https://oeis.org/edit/global/2847

#31 by R. J. Mathar at Thu Jan 23 13:05:23 EST 2020

STATUS

editing

approved

#30 by R. J. Mathar at Thu Jan 23 13:05:20 EST 2020

FORMULA

D-finite: n*a(n) +(-2*n+3)*a(n-1) +3*(-n+3)*a(n-2)=0. - R. J. Mathar, Jan 23 2020

STATUS

approved

editing

#29 by Michael Somos at Tue Aug 14 23:54:05 EDT 2018

STATUS

reviewed

approved

#28 by Michel Marcus at Tue Aug 14 03:13:40 EDT 2018

STATUS

proposed

reviewed

#27 by Vaclav Kotesovec at Tue Aug 14 03:13:28 EDT 2018

STATUS

editing

proposed

#26 by Vaclav Kotesovec at Tue Aug 14 03:13:21 EDT 2018

FORMULA

a(n) ~ -3^(n - 1/2) / (2*sqrt(Pi)*n^(3/2)). - Vaclav Kotesovec, Aug 14 2018

STATUS

proposed

editing

#25 by G. C. Greubel at Tue Aug 14 02:50:04 EDT 2018

STATUS

editing

proposed

#24 by G. C. Greubel at Tue Aug 14 02:49:55 EDT 2018

PROG

(MAGMA) m:=2550; R<x>:=PowerSeriesRing(IntegersRationals(), m); Coefficients(R!((1-x +Sqrt(1-2*x-3*x^2))/2)); // G. C. Greubel, Aug 13 2018

STATUS

proposed

editing