

A151691


G.f.: Prod_{ k >= 1 } (1 + 2*x^(2^k1) + x^(2^k)).


11



1, 2, 1, 2, 5, 4, 1, 2, 5, 4, 5, 12, 13, 6, 1, 2, 5, 4, 5, 12, 13, 6, 5, 12, 13, 14, 29, 38, 25, 8, 1, 2, 5, 4, 5, 12, 13, 6, 5, 12, 13, 14, 29, 38, 25, 8, 5, 12, 13, 14, 29, 38, 25, 16, 29, 38, 41, 72, 105, 88, 41, 10, 1, 2, 5, 4, 5, 12, 13, 6, 5, 12, 13, 14, 29, 38, 25, 8, 5, 12, 13, 14, 29
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..82.
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


EXAMPLE

Contribution from Omar E. Pol, Jun 09 2009: (Start)
Triangle begins:
1;
2,1;
2,5,4,1;
2,5,4,5,12,13,6,1;
2,5,4,5,12,13,6,5,12,13,14,29,38,25,8,1;
2,5,4,5,12,13,6,5,12,13,14,29,38,25,8,5,12,13,14,29,38,25,16,29,38,41,72,...
(End)


CROSSREFS

For generating functions of the form Prod_{k>=c} (1+a*x^(2^k1)+b*x^2^k)) for the following values of (a,b,c) see: (1,1,0) A160573, (1,1,1) A151552, (1,1,2) A151692, (2,1,0) A151685, (2,1,1) A151691, (1,2,0) A151688 and A152980, (1,2,1) A151550, (2,2,0) A151693, (2,2,1) A151694
Cf. A151685. See A151703 for another version with a simpler recurrence.
Cf. A000079. [From Omar E. Pol, Jun 09 2009]
Sequence in context: A106480 A099602 A151703 * A201780 A104560 A121435
Adjacent sequences: A151688 A151689 A151690 * A151692 A151693 A151694


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jun 04 2009


STATUS

approved



