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First differences of A256266.
1

%I #19 Nov 23 2015 10:26:02

%S 0,6,12,6,24,18,12,6,48,42,36,30,24,18,12,6,96,90,84,78,72,66,60,54,

%T 48,42,36,30,24,18,12,6,192,186,180,174,168,162,156,150,144,138,132,

%U 126,120,114,108,102,96,90,84,78,72,66,60,54,48,42,36,30,24,18,12,6,384,378,372,366,360,354,348,342,336,330,324,318

%N First differences of A256266.

%C Number of cells turned ON at n-th stage of the cellular automaton of A256266.

%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/Ce#cell">Index entries for sequences related to cellular automata</a>

%F a(n) = 6 * A080079(n), n >= 1.

%e With the terms written as an irregular triangle in which the row lengths are the terms of A011782 the sequence begins:

%e 0;

%e 6;

%e 12, 6;

%e 24, 18, 12, 6;

%e 48, 42, 36, 30, 24, 18, 12, 6;

%e 96, 90, 84, 78, 72, 66, 60, 54, 48, 42, 36, 30, 24, 18, 12, 6;

%e ...

%e Apart from the initial zero the rows list the initial terms of the positive multiples of 6 in decreasing order.

%o (PARI) a(n) = if(n==0, 0, -6*n+12*2^floor(log(n)/log(2)));

%o vector(100, n, a(n-1)) \\ _Altug Alkan_, Oct 04 2015

%Y Cf. A008588, A011782, A080079, A255748, A256257, A256266.

%K nonn,tabf,easy

%O 0,2

%A _Omar E. Pol_, Oct 02 2015