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Search: id:A109629
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| A109629 |
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Sequence of Mahler coefficients of the Gray code function. |
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+0
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
(list; graph; listen)
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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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FORMULA
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a_n = sum_{nu=0}^n (-1)^{n-nu}binom{n}{u} g(u), where g is the Gray code function A003188
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MAPLE
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g:= proc(n) option remember; local b; if n<=1 then n else b:= 2^floor (simplify (log[2](n))); b+ g(2*b-1-n) fi end: a:= n-> add ((-1)^(n-k) *binomial (n, k) *g(k), k=0..n): seq (a(n), n=0..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 09 2008]
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CROSSREFS
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Sequence in context: A064444 A072182 A009906 this_sequence A112087 A166019 A006000
Adjacent sequences: A109626 A109627 A109628 this_sequence A109630 A109631 A109632
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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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More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 09 2008
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