The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A164110

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A164110

a(n) = 12*a(n-1) - 34*a(n-2) for n > 1; a(0) = 5, a(1) = 36.
(history; published version)

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

PROG

(MAGMAMagma) [ n le 2 select 31*n-26 else 12*Self(n-1)-34*Self(n-2): n in [1..19] ];

Discussion

Thu Sep 08

08:45

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

#8 by Bruno Berselli at Tue Sep 12 02:41:32 EDT 2017

STATUS

reviewed

approved

#7 by Michel Marcus at Tue Sep 12 01:24:37 EDT 2017

STATUS

proposed

reviewed

#6 by G. C. Greubel at Mon Sep 11 23:03:14 EDT 2017

STATUS

editing

proposed

#5 by G. C. Greubel at Mon Sep 11 23:03:06 EDT 2017

NAME

a(n) = 12*a(n-1) - 34*a(n-2) for n > 1; a(0) = 5, a(1) = 36.

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-34).

FORMULA

E.g.f.: (5*cosh(sqrt(2)*x) + 3*sqrt(2)*sinh(sqrt(2)*x))*exp(6*x). - G. C. Greubel, Sep 11 2017

MATHEMATICA

LinearRecurrence[{12, -34}, {5, 36}, 50] (* G. C. Greubel, Sep 11 2017 *)

PROG

(PARI) x='x+O('x^50); Vec((5-24*x)/(1-12*x+34*x^2)) \\ G. C. Greubel, Sep 11 2017

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 17:28:03 EDT 2012

AUTHOR

_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Aug 10 2009

Discussion

Fri Mar 30

17:28

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

#3 by Joerg Arndt at Thu May 19 02:37:23 EDT 2011

STATUS

proposed

approved

#2 by Vincenzo Librandi at Thu May 19 02:32:27 EDT 2011

LINKS

Vincenzo Librandi, <a href="/A164110/b164110.txt">Table of n, a(n) for n = 0..1000</a>

STATUS

approved

proposed

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

NAME

a(n) = 12*a(n-1)-34*a(n-2) for n > 1; a(0) = 5, a(1) = 36.

DATA

5, 36, 262, 1920, 14132, 104304, 771160, 5707584, 42271568, 313200960, 2321178208, 17205305856, 127543611200, 945542935296, 7010032442752, 51971929512960, 385322051101952, 2856819009782784, 21180878379927040

OFFSET

0,1

COMMENTS

Binomial transform of A164038. Sixth binomial transform of A164095.

FORMULA

a(n) = ((5+3*sqrt(2))*(6+sqrt(2))^n+(5-3*sqrt(2))*(6-sqrt(2))^n)/2.

G.f.: (5-24*x)/(1-12*x+34*x^2).

PROG

(MAGMA) [ n le 2 select 31*n-26 else 12*Self(n-1)-34*Self(n-2): n in [1..19] ];

CROSSREFS

Cf. A164038, A164095.

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 10 2009

STATUS

approved