

A151570


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


16



1, 1, 2, 3, 2, 3, 5, 5, 2, 3, 5, 5, 5, 8, 10, 7, 2, 3, 5, 5, 5, 8, 10, 7, 5, 8, 10, 10, 13, 18, 17, 9, 2, 3, 5, 5, 5, 8, 10, 7, 5, 8, 10, 10, 13, 18, 17, 9, 5, 8, 10, 10, 13, 18, 17, 12, 13, 18, 20, 23, 31, 35, 26, 11, 2, 3, 5, 5, 5, 8, 10, 7, 5, 8, 10, 10, 13, 18, 17, 9, 5, 8, 10, 10, 13, 18, 17, 12
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OFFSET

0,3


COMMENTS

Equals A118977 + A151702.


LINKS

Ivan Neretin, Table of n, a(n) for n = 0..8191
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS


MATHEMATICA

a = {1, 1}; Do[AppendTo[a, a[[j]] + a[[j + 1]]], {i, 6}, {j, 2^i}]; a (* Ivan Neretin, Jun 28 2017 *)


CROSSREFS

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.
Sequence in context: A318271 A236483 A266714 * A059036 A184442 A295609
Adjacent sequences: A151567 A151568 A151569 * A151571 A151572 A151573


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, May 25 2009


STATUS

approved



