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A151573 a(0)=1, a(1)=1; a(2^i+j)=a(j)+2*a(j+1) for 0 <= j < 2^i. 16

%I

%S 1,1,3,7,3,7,17,13,3,7,17,13,17,41,43,19,3,7,17,13,17,41,43,19,17,41,

%T 43,47,99,127,81,25,3,7,17,13,17,41,43,19,17,41,43,47,99,127,81,25,17,

%U 41,43,47,99,127,81,53,99,127,137,245,353,289,131,31,3,7,17,13,17,41,43,19,17

%N a(0)=1, a(1)=1; a(2^i+j)=a(j)+2*a(j+1) for 0 <= j < 2^i.

%C Equals A151572 + A151703.

%H David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://neilsloane.com/doc/tooth.pdf">The Toothpick Sequence and Other Sequences from Cellular Automata</a>

%H N. J. A. Sloane, <a href="http://neilsloane.com/doc/toothlist.html">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

%Y For the recurrence a(2^i+j) = C*a(j) + D*a(j+1), a(0) = A, a(1) = B for following values of (A B C D) see: (0 1 1 1) A118977, (1 0 1 1) A151702, (1 1 1 1) A151570, (1 2 1 1) A151571, (0 1 1 2) A151572, (1 0 1 2) A151703, (1 1 1 2) A151573, (1 2 1 2) A151574, (0 1 2 1) A160552, (1 0 2 1) A151704, (1 1 2 1) A151568, (1 2 2 1) A151569, (0 1 2 2) A151705, (1 0 2 2) A151706, (1 1 2 2) A151707, (1 2 2 2) A151708.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, May 25 2009

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Last modified April 25 00:50 EDT 2014. Contains 240991 sequences.