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A151693 G.f.: Prod_{ k >= 0 } (1 + 2*x^(2^k-1) + 2*x^(2^k)). 10
3, 8, 10, 10, 22, 36, 28, 14, 22, 36, 40, 64, 116, 128, 72, 22, 22, 36, 40, 64, 116, 128, 84, 72, 116, 152, 208, 360, 488, 400, 176, 38, 22, 36, 40, 64, 116, 128, 84, 72, 116, 152, 208, 360, 488, 400, 188, 88, 116, 152, 208, 360, 488, 424, 312, 376, 536, 720, 1136, 1696, 1776 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..60.

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]

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:

..3;

..8,10;

.10,22,36,28;

.14,22,36,40,64,116,128,72;

.22,22,36,40,64,116,128,84,72,116,152,208,360,488,400,176;

.38,22,36,40,64,116,128,84,72,116,152,208,360,488,400,188,88,116,152,208,...

(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. A000079. [From Omar E. Pol, Jun 09 2009]

Sequence in context: A067569 A127518 A176118 * A007284 A080892 A177091

Adjacent sequences:  A151690 A151691 A151692 * A151694 A151695 A151696

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 04 2009

STATUS

approved

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Last modified December 18 14:26 EST 2018. Contains 318229 sequences. (Running on oeis4.)