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2, 3, 2, 3, 6, 7, 6, 7, 10, 11, 10, 11, 14, 15, 14, 15, 18, 19, 18, 19, 22, 23, 22, 23, 26, 27, 26, 27, 30, 31, 30, 31, 34, 35, 34, 35, 38, 39, 38, 39, 42, 43, 42, 43, 46, 47, 46, 47, 50, 51, 50, 51, 54, 55, 54, 55, 58, 59, 58, 59, 62, 63, 62, 63, 66, 67, 66
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listen;
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OFFSET
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0,1
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COMMENTS
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OR(n, 2) + AND(n, 2) = n + 2.
OR(n, 2) - AND(n, 2) = n + 2*(-1)^floor(n/2), A004443.
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LINKS
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FORMULA
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a(n) = n + 1 + (-1)^floor(n/2).
G.f.: ( 2-x+x^3 ) / ( (1+x^2)*(x-1)^2 ). - R. J. Mathar, Feb 27 2013
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EXAMPLE
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a(3) = 3 because OR(0011, 0010) = 0011 = 3.
a(4) = 6 because OR(0100, 0010) = 0110 = 6.
a(5) = 7 because OR(0101, 0010) = 0111 = 7.
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MAPLE
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with(Bits): seq(Or(n, 2), n=0..60);
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MATHEMATICA
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LinearRecurrence[{2, -2, 2, -1}, {2, 3, 2, 3}, 80] (* Harvey P. Dale, Oct 25 2016 *)
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PROG
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CROSSREFS
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Cf. similar sequences listed in A244587.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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