The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A171231

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A171231

a(n) = (10*2^n + 3 - (-1)^n)/6.
(history; published version)

#30 by Charles R Greathouse IV at Thu Sep 08 08:45:49 EDT 2022

PROG

(MAGMAMagma) [( 10*2^n+3-(-1)^n )/6: n in [0..40]]; // Vincenzo Librandi, Aug 05 2011

Discussion

Thu Sep 08

08:45

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

#29 by Joerg Arndt at Mon Jul 01 02:04:14 EDT 2019

STATUS

reviewed

approved

#28 by Michel Marcus at Mon Jul 01 00:20:00 EDT 2019

STATUS

proposed

reviewed

#27 by Jon E. Schoenfield at Mon Jul 01 00:01:50 EDT 2019

STATUS

editing

proposed

#26 by Jon E. Schoenfield at Mon Jul 01 00:01:47 EDT 2019

FORMULA

a(n) = 2*a(n-1) + a(n-2) - 2*a(n-3), n >= 3.

G.f. : ( 2-3*x^2 ) / ( (x-1)*(2*x-1)*(1+x) ). - R. J. Mathar, Jul 07 2011

a(n) = ceilceiling( (5/3)*(2^n) ). - Wesley Ivan Hurt, Jun 28 2013

STATUS

approved

editing

#25 by Bruno Berselli at Thu Oct 12 03:20:10 EDT 2017

STATUS

reviewed

approved

#24 by Michel Marcus at Thu Oct 12 01:22:55 EDT 2017

STATUS

proposed

reviewed

#23 by G. C. Greubel at Wed Oct 11 22:26:06 EDT 2017

STATUS

editing

proposed

#22 by G. C. Greubel at Wed Oct 11 22:25:57 EDT 2017

NAME

a(n) = ( 10*2^n + 3 - (-1)^n )/6.

LINKS

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,1,-2).

FORMULA

a(n) =2a 2*a(n-1) + a(n-2) -2a 2*a(n-3), n>=3.

a(n+1) - a(n) = A048573(n-1).

a(n) = 2*A000975(n+1) - 3*A000975(n-1).

a(n) - a(n-2) = 5*2^n.

a(n+1) -2a 2*a(n) = ((-1)^n-1)/2 = -A000035(n).

STATUS

approved

editing

#21 by Charles R Greathouse IV at Sat Jun 13 00:53:26 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (2,1,-2).

Discussion

Sat Jun 13

00:53

OEIS Server: https://oeis.org/edit/global/2439