The On-Line Encyclopedia of Integer Sequences (OEIS)

The OEIS is supported by the many generous donors to the OEIS Foundation.

Revision History for A109718

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A109718

Periodic sequence with period {0,1,0,3}, or n^3 mod 4.
(history; published version)

#31 by Joerg Arndt at Thu Dec 14 05:19:11 EST 2023

STATUS

proposed

approved

#30 by Paolo P. Lava at Thu Dec 14 04:30:01 EST 2023

STATUS

editing

proposed

#29 by Paolo P. Lava at Thu Dec 14 04:29:58 EST 2023

FORMULA

a(n) = (1/12)*(11*(n mod 4) - 7*((n+1) mod 4) + 5*((n+2) mod 4) - ((n+3) mod 4)). - Paolo P. Lava, Nov 21 2006

STATUS

approved

editing

#28 by Charles R Greathouse IV at Thu Sep 08 08:45:19 EDT 2022

PROG

(MAGMAMagma) &cat[[0, 1, 0, 3]: k in [0..26]]; // Bruno Berselli, Mar 14 2011

Discussion

Thu Sep 08

08:45

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

#27 by Joerg Arndt at Sat Jun 12 06:24:52 EDT 2021

STATUS

editing

approved

#26 by Joerg Arndt at Sat Jun 12 06:24:49 EDT 2021

FORMULA

G.f. = (x+3x3*x^3)/(1-x^4).

PROG

(Sage) [power_mod(n, 3, 4 )for n in range(0, 105)] # - __Zerinvary Lajos_, Oct 29 2009

STATUS

proposed

editing

#25 by Michel Marcus at Sat Jun 12 03:09:25 EDT 2021

STATUS

editing

proposed

#24 by Michel Marcus at Sat Jun 12 03:09:21 EDT 2021

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1).

STATUS

proposed

editing

#23 by Jon E. Schoenfield at Sat Jun 12 03:06:25 EDT 2021

STATUS

editing

proposed

#22 by Jon E. Schoenfield at Sat Jun 12 03:06:23 EDT 2021

PROG

(MAGMA) &cat[[0, 1, 0, 3]: k in [0..26]]; // _Bruno Berselli, _, Mar 14 2011