The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A047378

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A047378

Numbers that are congruent to {2, 4, 5} mod 7.
(history; published version)

#17 by Charles R Greathouse IV at Thu Sep 08 08:44:57 EDT 2022

PROG

(MAGMAMagma) [n : n in [0..150] | n mod 7 in [2, 4, 5]]; // Wesley Ivan Hurt, Jun 09 2016

Discussion

Thu Sep 08

08:44

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

#16 by Harvey P. Dale at Thu Jul 14 15:56:05 EDT 2022

STATUS

editing

approved

#15 by Harvey P. Dale at Thu Jul 14 15:56:02 EDT 2022

MATHEMATICA

LinearRecurrence[{1, 0, 1, -1}, {2, 4, 5, 9}, 100] (* Harvey P. Dale, Jul 14 2022 *)

STATUS

approved

editing

#14 by Bruno Berselli at Fri Jun 10 02:57:48 EDT 2016

STATUS

reviewed

approved

#13 by Michel Marcus at Fri Jun 10 00:47:13 EDT 2016

STATUS

proposed

reviewed

#12 by Wesley Ivan Hurt at Thu Jun 09 14:07:40 EDT 2016

STATUS

editing

proposed

#11 by Wesley Ivan Hurt at Thu Jun 09 09:55:06 EDT 2016

DATA

2, 4, 5, 9, 11, 12, 16, 18, 19, 23, 25, 26, 30, 32, 33, 37, 39, 40, 44, 46, 47, 51, 53, 54, 58, 60, 61, 65, 67, 68, 72, 74, 75, 79, 81, 82, 86, 88, 89, 93, 95, 96, 100, 102, 103, 107, 109, 110, 114, 116, 117, 121, 123, 124, 128, 130, 131, 135, 137, 138, 142

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+2*x+x^2+2*x^3) / ( (1+x+x^2)*(x-1)^2 ). - _R. J. Mathar, _, Dec 04 2011

From Wesley Ivan Hurt, Jun 09 2016: (Start)

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

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

a(3k) = 7k-2, a(3k-1) = 7k-3, a(3k-2) = 7k-5. (End)

MAPLE

A047378:=n->(21*n-9-9*cos(2*n*Pi/3)+sqrt(3)*sin(2*n*Pi/3))/9: seq(A047378(n), n=1..100); # Wesley Ivan Hurt, Jun 09 2016

MATHEMATICA

Select[Range[0, 150], MemberQ[{2, 4, 5}, Mod[#, 7]] &] (* Wesley Ivan Hurt, Jun 09 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 7 in [2, 4, 5]]; // Wesley Ivan Hurt, Jun 09 2016

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#10 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

#9 by Charles R Greathouse IV at Fri Jun 12 15:32:28 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

#8 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