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A126084
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a(n) = result of bitwise XOR operation applied to the prime numbers from 2 to prime(n+1).
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0
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1, 4, 3, 8, 5, 20, 7, 16, 13, 18, 55, 30, 53, 26, 47, 20, 41, 106, 45, 100, 43, 120, 33, 64, 37, 66, 41, 68, 53, 74, 201, 64, 203, 94, 201, 84, 247, 80, 253, 78, 251, 68, 133, 64, 135, 84, 139, 104, 141, 100, 139, 122, 129, 384, 135, 394, 133, 400, 137, 402, 183, 388, 179
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OFFSET
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1,2
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COMMENTS
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The values at odd indices are odd and the values at even indices are even.
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LINKS
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Table of n, a(n) for n=1..63.
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FORMULA
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a(1) = 2 XOR 3 = 1; a(n) = a(n-1) XOR prime(n+1).
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EXAMPLE
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a(3) = 3 because ((2 XOR 3) XOR 5) XOR 7 = (1 XOR 5) XOR 7 = 4 XOR 7 = 3
[Or, in base 2]
((10 XOR 11) XOR 101) XOR 111 = (1 XOR 101) XOR 111 = 100 XOR 111 = 11
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PROG
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(PARI) q=2; forprime(p=3, 311, q=bitxor(q, p); print1(q, ", ")) /* Klaus Brockhaus, Mar 06 2007 */
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CROSSREFS
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Cf. A003815, A112591.
Sequence in context: A022998 A082895 A086938 * A007015 A114562 A189042
Adjacent sequences: A126081 A126082 A126083 * A126085 A126086 A126087
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KEYWORD
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nonn,base
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AUTHOR
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Esko Ranta, Mar 02 2007
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EXTENSIONS
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More terms from Klaus Brockhaus, Mar 06 2007
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STATUS
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approved
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