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A194445 Number of toothpicks or D-toothpicks added at n-th stage to the structure of A194444. 9

%I #32 Mar 24 2013 13:47:30

%S 0,1,2,4,4,4,8,11,8,4,8,16,24,12,20,25,16,4,8,16,24,28,36,42,44,20,24,

%T 40,64,32,44,53,32,4,8,16,24,28,36,44,52,42,48,60,100,68,84,83,84,28,

%U 24,44,72,84,104,116,132,54,56,92,144,72,92,109,64,4

%N Number of toothpicks or D-toothpicks added at n-th stage to the structure of A194444.

%C Essentially the first differences of A194444.

%C First differs from A220525 at a(13). - _Omar E. Pol_, Mar 23 2013

%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 It appears that a(2^k+1) = 4, if k >= 1.

%F a(n) = A194435(n)/4. - _Omar E. Pol_, Mar 23 2013

%e Contribution from _Omar E. Pol_, Dec 05 2012 (Start):

%e Triangle begins:

%e 0;

%e 1;

%e 2;

%e 4,4;

%e 4,8,11,8;

%e 4,8,16,24,12,20,25,16;

%e 4,8,16,24,28,36,42,44,20,24,40,64,32,44,53,32;

%e (End)

%Y Row lengths give 1 together with A011782. Right border gives 0 together with A000079.

%Y Cf. A139250, A139251, A172311, A182635, A182839, A194271, A194433, A194435, A194441, A194443, A194444, A212009.

%K nonn,tabf

%O 0,3

%A _Omar E. Pol_, Aug 24 2011

%E More terms from _Omar E. Pol_, Mar 23 2013

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Last modified April 19 06:44 EDT 2024. Contains 371782 sequences. (Running on oeis4.)