A011080 - OEIS

%I #12 Feb 19 2016 11:41:25

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

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

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

%N Decimal expansion of 4th root of 89.

%C Abbott & Moser show that A045652(n) > k^(n - c log n) for some constant c and large enough n, where k is this constant. - _Charles R Greathouse IV_, Feb 19 2016

%H Ivan Panchenko, <a href="/A011080/b011080.txt">Table of n, a(n) for n = 1..1000</a>

%H H. L. Abbott and L. Moser, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa11/aa11131.pdf">Sum-free sets of integers</a>, Acta Arithmetica 11:4 (1965-1966), pp. 393-396.

%o (PARI) sqrtn(89,4) \\ _Charles R Greathouse IV_, Apr 16 2014

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_.