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Search: id:A120025
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| A120025 |
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Continued fraction expansion of the value of Minkowski's question mark function at the base of the natural logarithm. |
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2
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| 2, 1, 4, 2, 2, 1, 1, 6, 2, 4, 1, 1, 1, 4, 1, 1, 2, 14, 2, 3, 2, 1, 1, 2, 2, 2, 1, 1, 8, 1, 2, 1, 1, 2, 2, 1, 3, 2, 11, 979, 3, 19, 1, 1, 39, 2, 1, 4, 4, 4, 1, 27, 1, 1, 22, 6, 1, 8, 13, 1, 1, 1, 24, 5, 3, 21, 8, 3, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 4, 1, 6, 1, 2, 1, 1, 12, 77, 2, 1, 4, 2, 4, 2, 1, 2, 1, 35, 2
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Index entries for Minkowski's question mark function
Index entries for sequences related to Minkowski's question mark function
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FORMULA
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2 + 2(Sum[(-1)^(k)/2^(1/9*k^2 + k - 1), {k, 3, n, 3}] + Sum[(-1)^(k)/2^((1/9)(k + 8)(k - 1)), {k, 4, n, 3}] + Sum[(-1)^(k)/2^((1/9)(k^2 + 5*k - 5)), {k, 2, n, 3}])
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MATHEMATICA
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ContinuedFraction[(cf = ContinuedFraction[E, 150(*arbitrary precision*)]; IntegerPart[E] + Sum[(-1)^(k)/2^(Sum[cf[[i]], {i, 2, k}] - 1), {k, 2, Length[cf]}]), 100]
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CROSSREFS
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Cf. A120026.
Sequence in context: A123486 A127124 A127136 this_sequence A109090 A080100 A001176
Adjacent sequences: A120022 A120023 A120024 this_sequence A120026 A120027 A120028
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KEYWORD
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cofr,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 04 2006
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