login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A262867 Total number of ON (black) cells after n iterations of the "Rule 153" elementary cellular automaton starting with a single ON (black) cell. 2
1, 2, 5, 8, 15, 22, 31, 38, 53, 68, 85, 100, 121, 140, 161, 176, 207, 238, 271, 302, 339, 374, 411, 442, 487, 530, 575, 614, 663, 706, 751, 782, 845, 908, 973, 1036, 1105, 1172, 1241, 1304, 1381, 1456, 1533, 1604, 1685, 1760, 1837, 1900, 1993, 2084, 2177 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

LINKS

Robert Price, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

MATHEMATICA

rule=153; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rows-k+1, rows+k-1}], {k, 1, rows}]; (* Truncated list of each row *) nbc=Table[Total[catri[[k]]], {k, 1, rows}]; (* Number of Black cells in stage n *) Table[Total[Take[nbc, k]], {k, 1, rows}] (* Number of Black cells through stage n *)

CROSSREFS

Cf. A262855.

Sequence in context: A261543 A307190 A183409 * A024808 A238619 A323285

Adjacent sequences:  A262864 A262865 A262866 * A262868 A262869 A262870

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 17 2016

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 18 07:25 EDT 2021. Contains 345098 sequences. (Running on oeis4.)