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A151691 G.f.: Prod_{ k >= 1 } (1 + 2*x^(2^k-1) + 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 (list; graph; refs; listen; history; text; internal format)
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^k-1)+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

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Last modified February 22 19:36 EST 2018. Contains 299469 sequences. (Running on oeis4.)