A369882 Decimal expansion of log(2) - 1/4.
4, 4, 3, 1, 4, 7, 1, 8, 0, 5, 5, 9, 9, 4, 5, 3, 0, 9, 4, 1, 7, 2, 3, 2, 1, 2, 1, 4, 5, 8, 1, 7, 6, 5, 6, 8, 0, 7, 5, 5, 0, 0, 1, 3, 4, 3, 6, 0, 2, 5, 5, 2, 5, 4, 1, 2, 0, 6, 8, 0, 0, 0, 9, 4, 9, 3, 3, 9, 3, 6, 2, 1, 9, 6, 9, 6, 9, 4, 7, 1, 5, 6, 0, 5, 8, 6, 3, 3, 2, 6, 9, 9, 6, 4, 1, 8, 6, 8, 7, 5, 4, 2, 0, 0, 1, 4
Offset: 0
Examples
0.443147180559945309417232121458176568075500134...
Links
- Michael Ian Shamos, A catalog of the real numbers (2011), p. 453.
- Index entries for transcendental numbers
Programs
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Mathematica
RealDigits[Log[2] - 1/4, 10, 120][[1]] (* Amiram Eldar, Feb 04 2024 *)
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PARI
log(2)-1/4
Formula
Equals Sum_{k >= 2} (-1)^k*k/(k^2 - 1) [Shamos].
Equals Sum_{k >= 1} (-1)^(k+1)*(k + 1)/(k*(k + 2)).