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A175478
Decimal expansion of log(3)^2.
3
1, 2, 0, 6, 9, 4, 8, 9, 6, 0, 8, 1, 2, 5, 8, 1, 9, 7, 7, 8, 4, 3, 7, 7, 9, 1, 2, 3, 8, 4, 9, 3, 6, 5, 9, 1, 3, 6, 1, 8, 4, 6, 3, 3, 4, 6, 6, 2, 9, 2, 2, 1, 9, 8, 4, 8, 1, 6, 7, 2, 6, 8, 4, 0, 0, 5, 8, 2, 1, 5, 5, 1, 4, 8, 0, 7, 9, 8, 5, 2, 5, 4, 4, 5, 8, 5, 4, 4, 3, 0, 1, 7, 7, 1, 4, 0, 9, 3, 3, 3, 4, 2, 2, 8, 3
OFFSET
1,2
FORMULA
Equals A002391^2.
Equals Sum_{n >= 0} (-1)^n*(4/3)^(n+1)/((n+1)^2*binomial(2*n+1,n)). See my entry in A002544 dated Apr 18 2017. - Peter Bala, Jan 30 2023
EXAMPLE
1.2069489608125819778437...
MATHEMATICA
RealDigits[Log[3]^2, 10, 120][[1]] (* Harvey P. Dale, Jan 23 2012 *)
PROG
(PARI) log(3)^2 \\ Charles R Greathouse IV, May 15 2019
CROSSREFS
Sequence in context: A348189 A372911 A003076 * A011123 A087464 A078048
KEYWORD
cons,easy,nonn
AUTHOR
R. J. Mathar, May 25 2010
STATUS
approved