login
A369882
Decimal expansion of log(2) - 1/4.
0
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
0,1
FORMULA
Equals Sum_{k >= 2} (-1)^k*k/(k^2 - 1) [Shamos].
Equals Sum_{k >= 1} (-1)^(k+1)*(k + 1)/(k*(k + 2)).
EXAMPLE
0.443147180559945309417232121458176568075500134...
MATHEMATICA
RealDigits[Log[2] - 1/4, 10, 120][[1]] (* Amiram Eldar, Feb 04 2024 *)
PROG
(PARI) log(2)-1/4
CROSSREFS
Essentially the same as A002162 and A187832.
Sequence in context: A019706 A016497 A259259 * A194668 A378793 A138160
KEYWORD
nonn,cons
AUTHOR
STATUS
approved