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A120025 Continued fraction expansion of the value of Minkowski's question mark function at the base of the natural logarithm. 1
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; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..97.

Index entries for Minkowski's question mark function

Index entries for sequences related to Minkowski's question mark function

FORMULA

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}])

MATHEMATICA

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]

CROSSREFS

Cf. A120026.

Sequence in context: A145983 A245025 A257495 * A109090 A220780 A323915

Adjacent sequences:  A120022 A120023 A120024 * A120026 A120027 A120028

KEYWORD

cofr,nonn

AUTHOR

Joseph Biberstine (jrbibers(AT)indiana.edu), Jun 04 2006

STATUS

approved

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Last modified April 19 04:19 EDT 2019. Contains 322237 sequences. (Running on oeis4.)