|
%I #17 Sep 13 2016 13:05:05
%S 1,1,1,1,1,1,1,3,3,3,3,3,3,5,5,5,5,5,5,7,7,7,7,7,7,7,9,9,9,9,9,9,11,
%T 11,11,11,11,11,13,13,13,13,13,13,15,15,15,15,15,15,15,17,17,17,17,17,
%U 17,19,19,19,19,19,19,21,21,21,21,21,21,21,23,23,23,23,23,23,25,25,25,25,25,25,27,27,27,27,27,27,29,29,29,29,29,29,29,31,31,31,31,31,31,33,33,33,33,33,33,35,35
%N Number of minima of the 1-D Griewank function in [-n, n].
%C Appears to be equal to the number of positive roots for x-cos(nx)=0. - _Yuriy Sibirmovsky_, Sep 11 2016
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GriewankFunction.html">Griewank Function</a>
%e Minima occur at 0 and near +/- 6.28005, 12.5601, 18.8401, 25.1202, ...
%t A = Table[{n, CountRoots[x - Cos[n x], {x, 0, Infinity}]}, {n, 0, 108}]; (* (!) Conjecture, may not be correct for larger n (!) _Yuriy Sibirmovsky_, Sep 11 2016 *)
%Y Cf. A177889.
%K nonn
%O 0,8
%A _Eric W. Weisstein_, Dec 27 2010
|
