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A182509
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a(0)=0, a(1)=1, a(n)=(a(n-1) XOR n) + a(n-2).
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3
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0, 1, 3, 1, 8, 14, 16, 37, 61, 89, 144, 244, 392, 633, 1023, 1641, 2680, 4306, 6968, 11261, 18209, 29489, 47688, 77200, 124880, 202073, 326931, 528993, 855952, 1384942, 2240896, 3625869, 5866797, 9492633, 15359464, 24852068, 40211496, 65063537, 105275007
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OFFSET
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0,3
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COMMENTS
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Terms with indices 6k+1, 6k+2, 6k+3 are odd, all other terms are even.
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LINKS
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FORMULA
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a(0)=0, a(1)=1, a(n)=(a(n-1) XOR n) + a(n-2), where XOR is the bitwise exclusive-or operator.
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PROG
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(Python)
prpr = 0
prev = 1
for n in range(2, 99):
current = (prev ^ n) + prpr
print prpr,
prpr = prev
prev = current
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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