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0, 1, 2, 5, 4, 5, 10, 9, 8, 9, 10, 21, 20, 21, 18, 17, 16, 17, 18, 21, 20, 21, 42, 41, 40, 41, 42, 37, 36, 37, 34, 33, 32, 33, 34, 37, 36, 37, 42, 41, 40, 41, 42, 85, 84, 85, 82, 81, 80, 81, 82, 85, 84, 85, 74, 73, 72, 73, 74, 69, 68, 69, 66, 65, 64, 65, 66, 69, 68, 69, 74, 73, 72, 73, 74, 85, 84, 85, 82, 81, 80, 81, 82
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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No two adjacent bits in the binary representations of a(n) are 1.
The value 0 appears once, otherwise, if the binary representation of a(n) has k set bits then it appears 2^(k-1) times.
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..10922
Joerg Arndt, Matters Computational (The Fxtbook), pages 61-62.
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FORMULA
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a(n) = A184615(n) + A184616(n).
a(n) = A178729(n)/2 = (n XOR n*3)/2. Note a(2^n) = 2^n. - Alex Ratushnyak, Aug 13 2012
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EXAMPLE
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See A184615.
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MATHEMATICA
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a[n_] := Module[{nh, n3, c}, nh = BitShiftRight[n]; n3 = n + nh; c = BitXor[nh, n3]; BitAnd[n3, c] + BitAnd[nh, c]];
Table[a[n], {n, 0, 100}] (* Jean-François Alcover, May 30 2019, from PARI code in A184615 *)
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PROG
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(PARI) (see A184615)
(Python)
for n in range(77):
print((n^(n*3))/2, end=', ')
# Alex Ratushnyak, Aug 13 2012
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CROSSREFS
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Cf. A178729.
Cf. A184615 (positive parts), A184616 (negated negative parts).
Sequence in context: A086267 A197288 A053424 * A290886 A163809 A075771
Adjacent sequences: A184614 A184615 A184616 * A184618 A184619 A184620
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KEYWORD
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nonn
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AUTHOR
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Joerg Arndt, Jan 18 2011
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STATUS
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approved
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