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A248853 Decimal expansion of a second variant of the Komornik-Loreti constant. 1
2, 9, 1, 0, 0, 1, 6, 0, 5, 5, 6, 5, 5, 5, 7, 4, 6, 9, 1, 9, 8, 6, 0, 3, 6, 5, 0, 9, 6, 1, 9, 7, 9, 1, 4, 4, 5, 5, 7, 8, 2, 0, 4, 0, 3, 1, 4, 8, 7, 5, 2, 5, 0, 9, 2, 5, 2, 1, 4, 7, 5, 2, 0, 7, 7, 4, 0, 1, 1, 3, 8, 7, 5, 3, 7, 7, 7, 3, 8, 6, 4, 5, 4, 4, 3, 9, 4, 6, 5, 9, 5, 1, 6, 6, 5, 8, 2, 6, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 6.8 Prouhet-Thue-Morse Constant, p. 438.

LINKS

Table of n, a(n) for n=1..100.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 56.

Eric Weisstein's MathWorld, Komornik-Loreti Constant

FORMULA

The number 'q' is the unique positive solution of Sum_{n >= 1} (1-t(n))*q^-n = 1, where t(n) = A010060(n).

EXAMPLE

2.910016055655574691986036509619791445578204031487525...

MATHEMATICA

RealDigits[ q /. FindRoot[ Sum[(1 + Mod[DigitCount[n, 2, 1], 2])/q^n, {n, 1, 2000}] == 1, {q, 3}, WorkingPrecision -> 120], 10, 100] // First

CROSSREFS

Cf. A010060, A055060, A248852.

Sequence in context: A245217 A133768 A085333 * A272003 A128892 A187556

Adjacent sequences:  A248850 A248851 A248852 * A248854 A248855 A248856

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Mar 03 2015

STATUS

approved

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Last modified April 18 17:24 EDT 2021. Contains 343089 sequences. (Running on oeis4.)