%I #27 Oct 26 2024 04:43:47
%S 5,6,2,3,4,1,3,2,5,1,9,0,3,4,9,0,8,0,3,9,4,9,5,1,0,3,9,7,7,6,4,8,1,2,
%T 3,1,4,6,8,2,5,1,0,4,3,0,9,8,6,9,1,6,6,4,0,8,1,6,8,9,4,2,3,7,3,5,8,8,
%U 3,5,6,8,6,4,3,0,6,2,8,4,8,9,0,5,8,5,7,9,8,4,5,2,6,2,2,0,3,0
%N Decimal expansion of 10^(3/4).
%C This number is the geometric mean of sqrt(10) and 10.
%C Floor(10^((4*n - 1)/4)) = A018072(4*n - 1) can be obtained by multiplying this number by 10^(n - 1) and truncating the decimal places.
%C Harriot gives this constant to 18 decimal places. - _Charles R Greathouse IV_, Oct 22 2014
%D P. H. Underwood, "Logarithms" Texas Mathematics Teachers' Bulletin, Vol 6 No. 1 (1920), p. 23.
%H Thomas Harriot, <a href="http://echo.mpiwg-berlin.mpg.de/MPIWG:5PYT50NY">Manuscript 6782</a>, <a href="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?tocMode=thumbs&tocPN=1&url=/mpiwg/online/permanent/library/HSPGZ0AE/&viewMode=image&start=10&searchPN=1&characterNormalization=reg&query=&queryType=&pn=13">p. 7</a>, c. 1599.
%e 5.6234132519034908039495103977648...
%t RealDigits[10^(3/4), 10, 105][[1]]
%o (PARI) 10^.75 \\ _Charles R Greathouse IV_, Oct 22 2014
%Y Cf. A010467, A011007.
%K nonn,cons,easy
%O 1,1
%A _Alonso del Arte_, Jan 27 2013