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 A327972 Bitwise XOR of trajectories of rule 30 and rule 150, when both are started from a lone 1 cell: a(n) = A110240(n) XOR A038184(n). 7
 0, 0, 12, 4, 128, 384, 3404, 740, 37056, 127296, 794316, 286532, 8510656, 25560896, 224057484, 42076324, 2446214016, 8430013568, 51732969356, 18062215300, 553213409792, 1655549411840, 14630859361996, 3227756349540, 159219183713088, 546944274202816, 3411332163636556, 1231354981057220, 36554500089286208, 109782277571646400, 962314238681316620 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Antti Karttunen, Table of n, a(n) for n = 0..1023 Antti Karttunen, Terms up to a(255) drawn as binary strings, with 1 bit = 3x3 pixels resolution Antti Karttunen, Terms up to a(1023) drawn as binary strings, with 1 bit = 1 pixel resolution Index entries for sequences related to binary expansion of n Index entries for sequences related to cellular automata Index entries for sequences operating on GF(2)[X]-polynomials FORMULA a(n) = A038184(n) XOR A110240(n). Conjecture: for n > 1, floor(log_2(a(n))) = 2*n - (1,2,1,4,1,2,1,5 according as n == 0..7 (mod 8), respectively). - Alan Michael Gómez Calderón, Mar 02 2023 PROG (PARI) A048727(n) = bitxor(n, bitxor(2*n, 4*n)); \\ From A048727 A038184(n) = if(!n, 1, A048727(A038184(n-1))); A269160(n) = bitxor(n, bitor(2*n, 4*n)); \\ From A269160. A110240(n) = if(!n, 1, A269160(A110240(n-1))); A327972(n) = bitxor(A038184(n), A110240(n)); \\ Use this one for writing b-files: A327972write(up_to) = { my(s1=1, s2=1); for(n=0, up_to, write("b327972.txt", n, " ", bitxor(s1, s2)); s1 = A048727(s1); s2 = A269160(s2)); }; (Python) def A048727(n): return(n^(n<<1)^(n<<2)) def A269160(n): return(n^((n<<1)|(n<<2))) def genA327972(): '''Yield successive terms of A327972.''' s1 = 1 s2 = 1 while True: yield (s1^s2) s1 = A269160(s1) s2 = A048727(s2) CROSSREFS Cf. A003987, A038184, A048727, A110240, A269160. Cf. also A327971, A327973, A327976, A328103, A328104 for other such combinations. Sequence in context: A092237 A367323 A081987 * A047709 A002911 A038330 Adjacent sequences: A327969 A327970 A327971 * A327973 A327974 A327975 KEYWORD nonn AUTHOR Antti Karttunen, Oct 03 2019 STATUS approved

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Last modified September 19 14:26 EDT 2024. Contains 376012 sequences. (Running on oeis4.)