The On-Line Encyclopedia of Integer Sequences (OEIS)

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A066374

(3*n+4)*2^(n-3)-(2*n-1).
(history; published version)

#14 by Ray Chandler at Fri Jul 31 11:47:33 EDT 2015

STATUS

editing

approved

#13 by Ray Chandler at Fri Jul 31 11:47:31 EDT 2015

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6, -13, 12, -4).

STATUS

approved

editing

#12 by Harvey P. Dale at Wed Oct 23 10:10:34 EDT 2013

STATUS

editing

approved

#11 by Harvey P. Dale at Wed Oct 23 10:10:19 EDT 2013

FORMULA

a(2)=2, a(3)=8, a(4)=25, a(5)=67, a(n)=6*a(n-1)-13*a(n-2)+12*a(n-3)- 4*a(n-4). - Harvey P. Dale, Oct 23 2013

MATHEMATICA

Table[(3n+4)2^(n-3)-(2n-1), {n, 2, 30}] (* or *) LinearRecurrence[ {6, -13, 12, -4}, {2, 8, 25, 67}, 30] (* Harvey P. Dale, Oct 23 2013 *)

STATUS

approved

editing

#10 by Bruno Berselli at Fri Apr 20 08:59:00 EDT 2012

STATUS

editing

approved

#9 by Bruno Berselli at Fri Apr 20 08:58:56 EDT 2012

LINKS

Harry J. Smith, <a href="/A066374/b066374.txt">Table of n, a(n) for n = 2,...,200</a>

PROG

(PARI) { for (n=2, 200, write("b066374.txt", n, " ", (3*n + 4)*2^(n -3 ) - (2*n - 1)) ) } [From __Harry J. Smith_, Feb 11 2010]

STATUS

proposed

editing

#8 by Colin Barker at Fri Apr 20 08:50:50 EDT 2012

STATUS

editing

proposed

#7 by Colin Barker at Fri Apr 20 08:50:44 EDT 2012

FORMULA

G.f.: x^2*(2-4*x+3*x^2-3*x^3)/((1-x)^2*(1-2*x)^2). [Colin Barker, Apr 20 2012]

KEYWORD

nonn,easy

STATUS

approved

editing

#6 by Russ Cox at Fri Mar 30 17:24:36 EDT 2012

PROG

(PARI) { for (n=2, 200, write("b066374.txt", n, " ", (3*n + 4)*2^(n -3 ) - (2*n - 1)) ) } [From _Harry J. Smith (hjsmithh(AT)sbcglobal.net), _, Feb 11 2010]

Discussion

Fri Mar 30

17:24

OEIS Server: https://oeis.org/edit/global/133

#5 by Russ Cox at Fri Mar 30 16:49:17 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Jan 04 2002

Discussion

Fri Mar 30

16:49

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