A375851 - OEIS

%I #101 Sep 23 2024 13:52:39

%S 2,2,6,5,1,8,1,7,8,6,2,9,5,6,9,7,7,4,7,7,4,5,6,7,2,1,3,2,6,3,2,7,2,4,

%T 1,1,8,9,2,1,3,1,4,4,8,4,8,6,9,6,9,9,9,4,6,5,3,1,6,7,0,9,0,4,8,4,1,4,

%U 2,2,7,4,2,0,5,4,9,3,4,7,5,1,5,4,9,1,2,2,2,1,6,2,1,4,8,5,4,1,8,9

%N Decimal expansion of the 7th root of 306.

%C Calculated to 2800 digits by R. William Gosper in a 1976 contest where this task was the problem number 9.

%D David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See pp. 151-152.

%H Fred Gruenberger, <a href="https://archive.org/details/Popular_Computing/Popular%20Computing%2043/page/n9/mode/2up">Contest 12: Countdown</a>, Popular Computing, Vol. 4, No. 10 (1976), p. 10.

%H Fred Gruenberger, <a href="https://archive.org/details/Popular_Computing/Popular%20Computing%2048/page/n5/mode/2up">Contest 12 results</a>, Popular Computing, Vol. 5, No. 3 (1977), p. 6.

%H Fred Gruenberger, <a href="https://archive.org/details/Popular_Computing/Popular%20Computing%2050/page/n17">Gosper</a>, Popular Computing, Vol. 5, No. 5 (1977), p. 18.

%H Fred Gruenberger, <a href="https://www.jstor.org/stable/24969338">Computer Recreations</a>, Scientific American, Vol. 250, No. 4 (1984), pp. 19-27.

%F Equals A010769*A011261*A011381. - _R. J. Mathar_, Sep 23 2024

%e 2.26518178629569774774567213263272411892131...

%t RealDigits[306^(1/7),10,100][[1]]

%o (PARI) sqrtn(306, 7) \\ _Amiram Eldar_, Sep 18 2024

%Y Cf. A010769, A011186, A011201, A011216, A011231, A011246, A011261, A011276, A011291, A011306, A011321, A011336, A011351, A011366, A011381, A011396, A011411, A011426.

%K nonn,cons,easy

%O 1,1

%A _Stefano Spezia_, Sep 15 2024