The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A079979

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A079979

Characteristic function of multiples of six.
(history; published version)

#84 by Alois P. Heinz at Mon Dec 18 10:03:22 EST 2023

STATUS

proposed

approved

#83 by Paolo P. Lava at Mon Dec 18 09:08:36 EST 2023

STATUS

editing

proposed

#82 by Paolo P. Lava at Mon Dec 18 09:08:33 EST 2023

FORMULA

a(n) = (1/3)*(cos(n*(2/3)*Pi) + 1/2)*(1+(-1)^n) with n>=0. - Paolo P. Lava, Aug 23 2006

STATUS

approved

editing

#81 by Alois P. Heinz at Sat Dec 16 15:52:40 EST 2023

STATUS

proposed

approved

#80 by Paolo P. Lava at Sat Dec 16 15:47:34 EST 2023

STATUS

editing

proposed

#79 by Paolo P. Lava at Sat Dec 16 15:47:31 EST 2023

FORMULA

This formula can be used to produce any periodic sequence of 6 numbers b,c,d,e,f,g: a(n)= b*(1/3)*(cos(n*(2/3)*Pi) + 1/2)*(1+(-1)^n) + c*(1/3)*(cos((n+5)*(2/3)*Pi) + 1/2)*(1+(-1)^(n+5)) + d*(1/3)*(cos((n+4)*(2/3)*Pi) + 1/2)*(1+(-1)^(n+4)) + e*(1/3)*(cos((n+3)*(2/3)*Pi) + 1/2)*(1+(-1)^(n+3))+ f*(1/3)*(cos((n+2)*(2/3)*Pi) + 1/2)*(1+(-1)^(n+2)) + g*(1/3)*(cos((n+1)*(2/3)*Pi) + 1/2)*(1+(-1)^(n+1)). - Paolo P. Lava, Aug 23 2006

STATUS

approved

editing

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

PROG

(MAGMAMagma) &cat[[1, 0^^5]^^30];

(MAGMAMagma) A079979 := func<n|IsDivisibleBy(n, 6)select 1 else 0>; [A079979:n in [0..59]]; // Jason Kimberley, Oct 10 2011

Discussion

Thu Sep 08

08:45

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

#77 by Joerg Arndt at Sat Jun 12 06:52:51 EDT 2021

STATUS

editing

approved

#76 by Joerg Arndt at Sat Jun 12 06:52:46 EDT 2021

FORMULA

Recurrence: a(n) = a(n-6).

STATUS

proposed

editing

#75 by Jon E. Schoenfield at Sat Jun 12 02:54:22 EDT 2021

STATUS

editing

proposed

Discussion

Sat Jun 12

02:55

Michel Marcus: Recurrence: : is this really needed ?