The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A156569 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A156569

a(n) = 6*a(n-1)-a(n-2) for n > 2; a(1)=37, a(2)=205.
(history; published version)

#13 by Alois P. Heinz at Thu Apr 18 09:17:06 EDT 2024

STATUS

reviewed

approved

#12 by Stefano Spezia at Thu Apr 18 09:09:46 EDT 2024

STATUS

proposed

reviewed

#11 by Michel Marcus at Thu Apr 18 09:00:36 EDT 2024

STATUS

editing

proposed

#10 by Michel Marcus at Thu Apr 18 09:00:30 EDT 2024

COMMENTS

lim_{n -> infinity} a(n)/a(n-1) = 3+2*sqrt(2).

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,-1).

FORMULA

G.f.: x*(37-17*x)/(1-6*x+x^2). [corrected by _Klaus Brockhaus_, Sep 22 2009]

Limit_{n -> oo} a(n)/a(n-1) = 3+2*sqrt(2).

EXTENSIONS

G.f. corrected by Klaus Brockhaus, Sep 22 2009

STATUS

approved

editing

#9 by Charles R Greathouse IV at Sat Jun 13 00:53:00 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (6,-1).

Discussion

Sat Jun 13

00:53

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

#8 by Charles R Greathouse IV at Fri Jun 12 15:26:56 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (6,-1).

Discussion

Fri Jun 12

15:26

OEIS Server: https://oeis.org/edit/global/2436

#7 by Harvey P. Dale at Mon Aug 18 18:26:28 EDT 2014

STATUS

editing

approved

#6 by Harvey P. Dale at Mon Aug 18 18:26:24 EDT 2014

MATHEMATICA

LinearRecurrence[{6, -1}, {37, 205}, 30] (* Harvey P. Dale, Aug 18 2014 *)

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 17:27:58 EDT 2012

AUTHOR

_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Feb 11 2009, Feb 16 2009

EXTENSIONS

G.f. corrected by _Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Sep 22 2009

Discussion

Fri Mar 30

17:27

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

#4 by Charles R Greathouse IV at Wed Dec 28 11:03:19 EST 2011

STATUS

editing

approved