A265323 Total number of OFF (white) cells after n iterations of the "Rule 110" elementary cellular automaton starting with a single ON (black) cell.

0, 1, 3, 7, 11, 19, 27, 36, 45, 59, 74, 89, 106, 125, 143, 163, 183, 209, 235, 263, 291, 320, 349, 382, 417, 455, 495, 533, 568, 607, 652, 698, 739, 787, 842, 894, 942, 999, 1056, 1110, 1167, 1231, 1292, 1348, 1410, 1475, 1544, 1617, 1682, 1750, 1823, 1902

Offset: 0

Author

Robert Price, Dec 06 2015

Keywords

• nonn
• easy

References

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

Links

• Paolo Xausa, Table of n, a(n) for n = 0..5000 (terms 0..999 from Robert Price)
• Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
• Index entries for sequences related to cellular automata
• Index to Elementary Cellular Automata

Crossrefs

Cf. A075437.

Programs

Mathematica

A265323list[nmax_]:=Accumulate[Range[1,2nmax+1,2]-Map[Total,CellularAutomaton[110,{{1},0},nmax]]];A265323list[100] (* Paolo Xausa, Oct 04 2023 *)