The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A071054 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A071054

a(2n)=3n+1, a(2n+1)=2n+2.
(history; published version)

#26 by N. J. A. Sloane at Thu Mar 16 14:34:02 EDT 2017

STATUS

editing

approved

#25 by N. J. A. Sloane at Thu Mar 16 14:34:00 EDT 2017

LINKS

A. J. Macfarlane, <a href="http://www.damtp.cam.ac.uk/user/ajm/Papers2016/GFsForCAsOfEvenRuleNo.ps">Generating functions for integer sequences defined by the evolution of cellular automata with even rule numbers</a>, 2016.

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approved

editing

#24 by N. J. A. Sloane at Mon Aug 11 18:16:00 EDT 2014

STATUS

editing

approved

#23 by N. J. A. Sloane at Mon Aug 11 18:15:56 EDT 2014

LINKS

N. J. A. Sloane, <a href="/A071054/a071054.png">Illustration of first 20 generations of Rule 158</a>

N. J. A. Sloane, <a href="/A071054/a071054.png">TITLE FOR LINK</a>

MATHEMATICA

ArrayPlot[CellularAutomaton[158, {{1}, 0}, 20]] (* N. J. A. Sloane, Aug 11 2014 *)

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approved

editing

#22 by N. J. A. Sloane at Mon Aug 11 18:14:33 EDT 2014

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editing

approved

#21 by N. J. A. Sloane at Mon Aug 11 18:14:28 EDT 2014

LINKS

N. J. A. Sloane, <a href="/A071054/a071054.png">TITLE FOR LINK</a>

STATUS

approved

editing

#20 by N. J. A. Sloane at Mon Aug 11 18:11:39 EDT 2014

STATUS

editing

approved

#19 by N. J. A. Sloane at Mon Aug 11 18:11:37 EDT 2014

NAME

Number of 1's in n-th row of triangle in A071037.

a(2n)=3n+1, a(2n+1)=2n+2.

COMMENTS

Number of ON cells at n-th generation of 1-D CA defined by Rule 158, starting with a single ON cell at generation 0. Equivalently, number of 1's in n-th row of triangle in A071037. - N. J. A. Sloane, Aug 10 2014

EXTENSIONS

Simpler definition from N. J. A. Sloane, Aug 11 2014

STATUS

approved

editing

#18 by N. J. A. Sloane at Mon Aug 11 12:31:33 EDT 2014

STATUS

editing

approved

#17 by N. J. A. Sloane at Mon Aug 11 12:31:30 EDT 2014

FORMULA

a(n) = (5/4)*n + 3/2 + (n/4 - 1/2)*(-1)^n. - Robert Israel, Aug 11 2014

STATUS

approved

editing