A253075 Number of ON cells at generation n in a certain two-dimensional cellular automaton that produces a roughly circular pattern.

7, 17, 27, 31, 39, 51, 63, 79, 83, 89, 101, 115, 123, 139, 159, 191, 207, 219, 235, 261, 273, 287, 313, 349, 373, 401, 425, 457, 489, 523, 559, 579, 607, 633, 667, 691, 733, 771, 817, 855, 891, 931, 977, 1007, 1037, 1079, 1141, 1191, 1241

Offset

0,1

Comments

This is the CA on the square grid, defined by Rule 175850, and started with 7 adjacent ON cells. It is shown on page 177 of Wolfram's A New Kind of Science.

Links

Table of n, a(n) for n=0..48.

N. J. A. Sloane, Illustration of initial terms

S. Wolfram, A New Kind of Science, Wolfram Media Inc., (2002), p. 177

Index entries for sequences related to cellular automata

Mathematica

ArrayPlot /@ CellularAutomaton[{175850, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1, 1, 1, 1, 1, 1, 1}}, 0}, 16] (Produces illustrations)
Total@*Total /@ CellularAutomaton[{175850, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1, 1, 1, 1, 1, 1, 1}}, 0}, 32] (Produces sequence)

Crossrefs

Sequence in context: A355680 A354672 A261934 * A011537 A283610 A043517

Adjacent sequences: A253072 A253073 A253074 * A253076 A253077 A253078

Keyword

nonn

Author

N. J. A. Sloane, Feb 01 2015

Status

approved