The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A047320 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A047320

Numbers that are congruent to {0, 5, 6} mod 7.
(history; published version)

#16 by Charles R Greathouse IV at Thu Sep 08 08:44:56 EDT 2022

PROG

(MAGMAMagma) [n : n in [0..150] | n mod 7 in [0, 5, 6]]; // Wesley Ivan Hurt, Jun 07 2016

Discussion

Thu Sep 08

08:44

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

#15 by Bruno Berselli at Wed Jun 08 02:39:35 EDT 2016

STATUS

reviewed

approved

#14 by Michel Marcus at Wed Jun 08 01:27:25 EDT 2016

STATUS

proposed

reviewed

#13 by Wesley Ivan Hurt at Wed Jun 08 00:04:31 EDT 2016

STATUS

editing

proposed

#12 by Wesley Ivan Hurt at Tue Jun 07 23:17:17 EDT 2016

DATA

0, 5, 6, 7, 12, 13, 14, 19, 20, 21, 26, 27, 28, 33, 34, 35, 40, 41, 42, 47, 48, 49, 54, 55, 56, 61, 62, 63, 68, 69, 70, 75, 76, 77, 82, 83, 84, 89, 90, 91, 96, 97, 98, 103, 104, 105, 110, 111, 112, 117, 118, 119, 124, 125, 126, 131, 132, 133, 138, 139, 140

LINKS

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

FORMULA

G.f. : x^2*(5+x+x^2) / ( (1+x+x^2)*(x-1)^2 ). - _R. J. Mathar, _, Dec 03 2011

From Wesley Ivan Hurt, Jun 07 2016: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4) for n>4.

a(n) = (21*n-9-8*sqrt(3)*sin(2*n*Pi/3))/9.

a(3k) = 7k-1, a(3k-1) = 7k-2, a(3k-2) = 7k-7. (End)

MAPLE

A047320:=n->(21*n-9-8*sqrt(3)*sin(2*n*Pi/3))/9: seq(A047320(n), n=1..100); # Wesley Ivan Hurt, Jun 07 2016

MATHEMATICA

Select[Range[0, 200], MemberQ[{0, 5, 6}, Mod[#, 7]]&] (* Harvey P. Dale, May 25 2012 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 7 in [0, 5, 6]]; // Wesley Ivan Hurt, Jun 07 2016

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#11 by Charles R Greathouse IV at Sat Jun 13 00:49:57 EDT 2015

LINKS

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

Discussion

Sat Jun 13

00:49

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

#10 by Charles R Greathouse IV at Fri Jun 12 15:32:27 EDT 2015

LINKS

<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (1,0,1,-1).

Discussion

Fri Jun 12

15:32

OEIS Server: https://oeis.org/edit/global/2437

#9 by Harvey P. Dale at Fri May 25 17:26:20 EDT 2012

STATUS

editing

approved

#8 by Harvey P. Dale at Fri May 25 17:26:15 EDT 2012

MATHEMATICA

Select[Range[0, 200], MemberQ[{0, 5, 6}, Mod[#, 7]]&] (* Harvey P. Dale, May 25 2012 *)

STATUS

approved

editing

#7 by Russ Cox at Fri Mar 30 16:48:25 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:48

OEIS Server: https://oeis.org/edit/global/110