

A168113


First differences of A168112.


3



1, 1, 2, 3, 3, 3, 6, 7, 6, 3, 6, 7, 8, 9, 16, 17, 10, 3, 6, 7, 8, 9, 16, 17, 12, 9, 16, 19, 22, 31, 46, 41, 18, 3, 6, 7, 8, 9, 16, 17, 12, 9, 16, 19, 22, 31, 46, 41, 20, 9, 16, 19, 22, 31, 46, 43, 30, 31, 48
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OFFSET

1,3


COMMENTS

a(n) is the number of toothpicks added at the nth round in the toothpick structure of A168112.


LINKS

Table of n, a(n) for n=1..59.
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


FORMULA

Observation: It appears that a(2^i+2) = 3, for i>0.
a(n) = A160731(n)/2. [From Nathaniel Johnston, Mar 28 2011]


EXAMPLE

If written as a triangle, begins:
1;
1;
2;
3,3;
3,6,7,6;
3,6,7,8,9,16,17,10;
3,6,7,8,9,16,17,12,9,16,19,22,31,46,41,18;
Rows converge to A168114.


CROSSREFS

Cf. A139250, A139251, A152978, A152980, A160407, A168112, A168114.
Sequence in context: A245642 A289559 A070167 * A170895 A141479 A055081
Adjacent sequences: A168110 A168111 A168112 * A168114 A168115 A168116


KEYWORD

nonn,tabf


AUTHOR

Omar E. Pol, Dec 07 2009


EXTENSIONS

Terms after a(34) from Nathaniel Johnston, Mar 28 2011


STATUS

approved



