The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A173531 a(0)=0: For n>0, a(n) = A060632(n)*A060632(n-1). 3
 0, 1, 2, 4, 4, 4, 8, 16, 8, 4, 8, 16, 16, 16, 32, 64, 16, 4, 8, 16, 16, 16, 32, 64, 32, 16, 32, 64, 64, 64, 128, 256, 32, 4, 8, 16, 16, 16, 32, 64, 32, 16, 32, 64, 64, 64, 128, 256, 64, 16, 32, 64, 64, 64, 128, 256, 128, 64, 128, 256, 256 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS First differences of A173530. Number of triangles (Or V-toothpicks, or L-toothpicks, etc.) added in the three-dimensional structure of A173530 at the n-th stage. LINKS Michael De Vlieger, Table of n, a(n) for n = 0..16383 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.] Christina Talar Bekaroğlu, Analyzing Dynamics of Larger than Life: Impacts of Rule Parameters on the Evolution of a Bug's Geometry, Master's thesis, Calif. State Univ. Northridge (2023). See p. 92. Michael De Vlieger, Scatterplot of Log_2 a(n) for n = 1..1024. N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS EXAMPLE If written as a triangle, begins: 0; 1; 2; 4,4; 4,8,16,8; 4,8,16,16,16,32,64,16; 4,8,16,16,16,32,64,32,16,32,64,64,64,128,256,32; 4,8,16,16,16,32,64,32,16,32,64,64,64,128,256,64,16,32,64,64,64,128,256,128,... MATHEMATICA Prepend[Times @@@ Partition[Array[2^DigitCount[Floor[#/2], 2, 1] &, 120, 0], 2, 1], 0] (* Michael De Vlieger, Jan 11 2024 *) CROSSREFS Cf. A001316, A047999, A060632, A139250, A139251, A161207, A172311, A173530, A173532. Sequence in context: A182635 A188346 A309690 * A122788 A078003 A081524 Adjacent sequences: A173528 A173529 A173530 * A173532 A173533 A173534 KEYWORD nonn AUTHOR Omar E. Pol, Oct 10 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 19 13:16 EDT 2024. Contains 372694 sequences. (Running on oeis4.)