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A038184
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One-dimensional cellular automaton 'sigma' (Rule 150): 000,001,010,011,100,101,110,111 -> 0,1,1,0,1,0,0,1.
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9
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1, 7, 21, 107, 273, 1911, 5189, 28123, 65793, 460551, 1381653, 7039851, 17829905, 124809335, 340873541, 1840690907, 4295032833, 30065229831, 90195689493, 459568513131, 1172543963409, 8207807743863, 22286925370437
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Generation n (starting from the generation 0: 1) interpreted as a binary number.
Rows of the mod 2 trinomial triangle (A027907), interpreted as binary numbers: 1, 111, 10101, 1101011, ... - Jacob Siehler (siehlerj(AT)wlu.edu), Aug 25 2006
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LINKS
| Index entries for sequences related to cellular automata
Eric Weisstein's World of Mathematics, Rule 150
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MAPLE
| bit_n := (x, n) -> `mod`(floor(x/(2^n)), 2);
sigmagen := proc(n) option remember: if (0 = n) then (1)
else sum('((bit_n(sigmagen(n-1), i)+bit_n(sigmagen(n-1), i-1)+bit_n(sigmagen(n-1), i-2)) mod 2)*(2^i)', 'i'=0..(2*n)) fi: end:
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MATHEMATICA
| f[n_] := Sum[2^k*Coefficient[ #, x, k], {k, 0, 2n}] & @ Expand[(1 + x + x^2)^n, Modulus -> 2] - Jacob Siehler (siehlerj(AT)wlu.edu), Aug 25 2006
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CROSSREFS
| Cf. A006977, A006978, A038183, A038185 (other cellular automata). Cf. A048710, A048720.
Cf. A027907, A001317.
Sequence in context: A164544 A100025 A121157 * A001185 A001693 A061961
Adjacent sequences: A038181 A038182 A038183 * A038185 A038186 A038187
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KEYWORD
| nonn
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AUTHOR
| Antti Karttunen, Feb 15 1999
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