The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A082679 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A082679

Number of LEGO towers, one piece per floor, where every floor is perpendicular to the one below it (so we have a kind of 3-dimensional zigzag pattern).
(history; published version)

#11 by Michael De Vlieger at Tue Oct 11 22:57:45 EDT 2022

STATUS

proposed

approved

#10 by Jon E. Schoenfield at Tue Oct 11 22:28:56 EDT 2022

STATUS

editing

proposed

#9 by Jon E. Schoenfield at Tue Oct 11 22:28:52 EDT 2022

NAME

Number of Lego LEGO towers, one piece per floor, where every floor is perpendicular to the one below it (so we have a kind of 3-dimensional zigzag pattern).

FORMULA

G.f.: x*(1 - 3*x + 2*x^2 - x^3)/(1 - 5*x + 6*x^2 - 3*x^3 + x^4).

STATUS

approved

editing

#8 by Harvey P. Dale at Wed Nov 10 18:35:25 EST 2021

STATUS

editing

approved

#7 by Harvey P. Dale at Wed Nov 10 18:35:22 EST 2021

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5,-6,3,-1).

MATHEMATICA

LinearRecurrence[{5, -6, 3, -1}, {0, 1, 2, 6, 20}, 30] (* Harvey P. Dale, Nov 10 2021 *)

STATUS

approved

editing

#6 by Bruno Berselli at Mon Feb 13 08:33:51 EST 2017

STATUS

proposed

approved

#5 by Wesley Ivan Hurt at Mon Feb 13 06:44:08 EST 2017

STATUS

editing

proposed

#4 by Wesley Ivan Hurt at Sun Feb 12 20:13:46 EST 2017

MATHEMATICA

CoefficientList[Series[x*(1 - 3*x + 2*x^2 - x^3)/(1 - 5*x + 6*x^2 - 3*x^3 + x^4), {x, 0, 30}], x] (* Wesley Ivan Hurt, Feb 12 2017 *)

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 18:41:19 EDT 2012

AUTHOR

_Ralf Stephan (ralf(AT)ark.in-berlin.de), _, May 19 2003

Discussion

Fri Mar 30

18:41

OEIS Server: https://oeis.org/edit/global/233

#2 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

LINKS

D. Zeilberger, <a href="http://arxivarXiv.org/abs/math.CO/9801016">[math/9801016] Automated counting of LEGO towers</a>

KEYWORD

nonn,easy,new