The On-Line Encyclopedia of Integer Sequences (OEIS)

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A164682

a(n) = 2*a(n-2) for n > 2; a(1) = 5, a(2) = 8.
(history; published version)

#10 by Ray Chandler at Fri Jun 30 01:07:55 EDT 2023

STATUS

editing

approved

#9 by Ray Chandler at Fri Jun 30 01:07:52 EDT 2023

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 2).

STATUS

approved

editing

#8 by Charles R Greathouse IV at Thu Sep 08 08:45:47 EDT 2022

PROG

(MAGMAMagma) [ n le 2 select 2+3*n else 2*Self(n-2): n in [1..40] ];

Discussion

Thu Sep 08

08:45

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

#7 by Harvey P. Dale at Wed Jul 20 15:07:11 EDT 2022

STATUS

editing

approved

#6 by Harvey P. Dale at Wed Jul 20 15:07:08 EDT 2022

MATHEMATICA

LinearRecurrence[{0, 2}, {5, 8}, 60] (* Harvey P. Dale, Jul 20 2022 *)

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 17:28:04 EDT 2012

AUTHOR

_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Aug 21 2009

Discussion

Fri Mar 30

17:28

OEIS Server: https://oeis.org/edit/global/145

#4 by Joerg Arndt at Tue Jun 14 03:27:01 EDT 2011

STATUS

proposed

approved

#3 by Joerg Arndt at Tue Jun 14 03:26:56 EDT 2011

KEYWORD

nonn,easy,changed

#2 by Vincenzo Librandi at Tue Jun 14 02:40:53 EDT 2011

LINKS

Vincenzo Librandi, <a href="/A164682/b164682.txt">Table of n, a(n) for n = 1..1000</a>

STATUS

approved

proposed

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

a(n) = 2*a(n-2) for n > 2; a(1) = 5, a(2) = 8.

DATA

5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 4096, 5120, 8192, 10240, 16384, 20480, 32768, 40960, 65536, 81920, 131072, 163840, 262144, 327680, 524288, 655360, 1048576, 1310720, 2097152, 2621440, 4194304

OFFSET

1,1

COMMENTS

Interleaving of A020714 and A000079 without initial terms 1, 2, 4.

First differences are in A162255.

Binomial transform is A135532 without initial terms -1, 3. Fourth binomial transform is A164537.

FORMULA

a(n) = (9-(-1)^n)*2^(1/4*(2*n-5+(-1)^n)).

G.f.: x*(5+8*x)/(1-2*x^2).

PROG

(MAGMA) [ n le 2 select 2+3*n else 2*Self(n-2): n in [1..40] ];

CROSSREFS

Equals A094958 (numbers of the form 2^n or 5*2^n) without initial terms 1, 2, 4.

Cf. A020714 (5*2^n), A000079 (powers of 2), A162255, A135532, A164537.

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 21 2009

STATUS

approved