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Total number of ON states after n generations of cellular automaton based on pentagons starting near of the vertex of an infinite 36-degree wedge.
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%I #18 Nov 25 2013 15:15:10

%S 0,1,2,3,5,8,10,11,13,17,21,24,29,36,40,41,43,47,53,61

%N Total number of ON states after n generations of cellular automaton based on pentagons starting near of the vertex of an infinite 36-degree wedge.

%C The sequence gives the number of pentagons in the structure after n-th stage. A222173 (the first differences) gives the number of pentagons added at n-th stage.

%C Also P-toothpick sequence starting near of the vertex of an infinite 36-degree wedge, since each pentagon can be replaced by a P-toothpick.

%C For more information see A222180.

%C First differs from A153000 at a(9).

%H N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

%H <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>

%F a(n) = (((A222180(n+2) - 1)/5) - 1)/2 = (A222176(n+1) - 1)/2.

%F a(n) = (A222180(n+2) - 6)/10. - _Omar E. Pol_, Nov 24 2013

%Y Cf. A139250, A153000, A222173, A222176, A222180.

%K nonn,more

%O 0,3

%A _Omar E. Pol_, Mar 21 2013

%E Name improved by _Omar E. Pol_, Nov 24 2013