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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).

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: A040137 A092237 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 August 10 12:39 EDT 2020. Contains 336379 sequences. (Running on oeis4.)