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A109629
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Sequence of Mahler coefficients of the Gray code function.
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1
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0, 1, 1, -4, 12, -28, 52, -80, 112, -176, 376, -976, 2536, -6112, 13504, -27456, 51552, -89344, 142240, -206656, 274800, -354240, 546976, -1283648, 3918800, -12104064, 34744256, -92031104, 227231104, -528840704, 1170706304, -2481880320
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OFFSET
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0,4
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REFERENCES
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F. Clarke, The Gray code function, in: p-adic methods and their applications, A.J. Baker and R. J. Plymen editors, Oxford University Press, New York 1992, 1-7.
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} (-1)^{n-k} * C(n,k) * g(k), where g is the Gray code function A003188.
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MAPLE
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g:= proc(n) option remember; `if`(n<2, n,
(b-> b+g(2*b-1-n))(2^ilog2(n)))
end:
a:= n-> add((-1)^(n-k)*binomial(n, k)*g(k), k=0..n):
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MATHEMATICA
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g[n_] := BitXor[n, Quotient[n, 2]];
a[n_] := Sum[(-1)^(n-k) Binomial[n, k] g[k], {k, 0, n}];
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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Jan-Christoph Schlage-Puchta (jcp(AT)math.uni-freiburg.de), Aug 02 2005
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EXTENSIONS
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STATUS
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approved
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