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A194441 Number of toothpicks or D-toothpicks added at n-th stage to the structure of A194440. 17

%I #21 Mar 29 2013 05:31:59

%S 0,1,2,4,4,4,4,8,8,4,4,8,12,16,8,16,16,4,4,8,12,16,16,24,26,24,12,20,

%T 28,40,20,32,32,4,4,8,12,16,16,24,26,24,20,32,40,64,40,48,54,40,12,20,

%U 32,48,48,64,70,76,30,44,64,88,44,64,64,4,4,8,12

%N Number of toothpicks or D-toothpicks added at n-th stage to the structure of A194440.

%C Essentially the first differences of A194440.

%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 Conjectures for n = 2^k+j, if -1<=j<=3:

%F a(2^k-1) = 2^k, if k >= 2.

%F a(2^k+0) = 2^k, if k >= 0.

%F a(2^k+1) = 4, if k >= 1.

%F a(2^k+2) = 4, if k >= 1.

%F a(2^k+3) = 8, if k >= 2.

%F End of conjectures.

%e If written as a triangle:

%e 0,

%e 1,

%e 2,

%e 4,4,

%e 4,4,8,8,

%e 4,4,8,12,16,8,16,16,

%e 4,4,8,12,16,16,24,26,24,12,20,28,40,20,32,32,

%e 4,4,8,12,16,16,24,26,24,20,32,40,64,40,48,54,40,12,20,...

%e .

%e It appears that rows converge to A194696.

%Y Cf. A139251, A160121, A160407, A161831, A194271, A194440, A194443, A194445, A194692, A194693, A194696.

%K nonn

%O 0,3

%A _Omar E. Pol_, Aug 29 2011

%E More terms from _Omar E. Pol_, Dec 28 2012

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)