A265205 -id:A265205

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A265206

Total number of ON (black) cells after n iterations of the "Rule 73" elementary cellular automaton starting with a single ON (black) cell.

+10
3

1, 1, 4, 4, 11, 13, 18, 20, 29, 35, 40, 50, 63, 69, 80, 90, 105, 115, 134, 144, 167, 177, 194, 214, 233, 249, 274, 292, 311, 331, 356, 370, 407, 427, 454, 480, 515, 535, 572, 602, 643, 667, 700, 736, 775, 801, 846, 882, 919, 957, 998, 1034, 1083, 1127, 1156

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

REFERENCES

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

LINKS

Robert Price, Table of n, a(n) for n = 0..999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

MATHEMATICA

rule = 73; rows = 30; Table[Total[Take[Table[Total[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}], k]], {k, 1, rows}]

CROSSREFS

Cf. A245549, A262448, A265122, A265156, A265205.

KEYWORD

nonn,easy

AUTHOR

Robert Price, Dec 04 2015

STATUS

approved

A265219

Number of OFF (white) cells in the n-th iteration of the "Rule 73" elementary cellular automaton starting with a single ON (black) cell.

+10
2

0, 3, 2, 7, 2, 9, 8, 13, 8, 13, 16, 13, 12, 21, 18, 21, 18, 25, 18, 29, 18, 33, 28, 27, 30, 35, 28, 37, 38, 39, 36, 49, 28, 47, 42, 45, 38, 55, 40, 49, 40, 59, 52, 51, 50, 65, 48, 59, 60, 61, 60, 67, 56, 63, 80, 55, 74, 75, 60, 79, 78, 63, 86, 79, 74, 87, 88

(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..999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

CROSSREFS

Cf. A245549, A262448, A265122, A265156, A265205, A265206.

KEYWORD

nonn,easy

AUTHOR

Robert Price, Dec 05 2015

STATUS

approved

A265220

Total number of OFF (white) cells after n iterations of the "Rule 73" elementary cellular automaton starting with a single ON (black) cell.

+10
1

0, 3, 5, 12, 14, 23, 31, 44, 52, 65, 81, 94, 106, 127, 145, 166, 184, 209, 227, 256, 274, 307, 335, 362, 392, 427, 455, 492, 530, 569, 605, 654, 682, 729, 771, 816, 854, 909, 949, 998, 1038, 1097, 1149, 1200, 1250, 1315, 1363, 1422, 1482, 1543, 1603, 1670

(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..999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

CROSSREFS

Cf. A245549, A262448, A265122, A265156, A265205, A265206, A265219.