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A100045
Decimal expansion of 17/24 + log(2).
1
1, 4, 0, 1, 4, 8, 0, 5, 1, 3, 8, 9, 3, 2, 7, 8, 6, 4, 2, 7, 5, 0, 5, 6, 5, 4, 5, 4, 7, 9, 1, 5, 0, 9, 9, 0, 1, 4, 0, 8, 8, 3, 3, 4, 6, 7, 6, 9, 3, 5, 8, 8, 5, 8, 7, 4, 5, 4, 0, 1, 3, 3, 4, 2, 8, 2, 6, 7, 2, 6, 9, 5, 5, 3, 0, 3, 0, 2, 8, 0, 4, 8, 9, 3, 9, 1, 9, 6, 6, 6, 0, 3, 2, 9, 7, 5, 2, 0, 2, 0, 8, 7
OFFSET
1,2
COMMENTS
Allouche gives an equality with this constant and an infinite sum involving the sum of the binary digits of numbers. - Charles R Greathouse IV, Sep 08 2012
LINKS
Jean-Paul Allouche and Jeffrey Shallit, Sums of digits and the Hurwitz zeta function, in: K. Nagasaka and E. Fouvry (eds.), Analytic Number Theory, Lecture Notes in Mathematics, Vol. 1434, Springer, Berlin, Heidelberg, 1990, pp. 19-30.
Eric Weisstein's World of Mathematics, Digit Sum.
FORMULA
Equals Sum_{k>=2} A000120(k)^2 * (8*k^3 + 4*k^2 + k - 1)/(4*k*(k^2-1)*(4*k^2-1)) (Allouche and Shallit, 1990). - Amiram Eldar, Jun 01 2021
EXAMPLE
1.4014805138932786427505654547915099...
MATHEMATICA
RealDigits[17/24+Log[2], 10, 120][[1]] (* Harvey P. Dale, Jan 21 2013 *)
PROG
(PARI) log(2)+17/24 \\ Charles R Greathouse IV, May 15 2019
CROSSREFS
Sequence in context: A299588 A299528 A300146 * A143844 A186759 A065623
KEYWORD
nonn,cons,easy
AUTHOR
Eric W. Weisstein, Oct 31 2004
STATUS
approved