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A178832 Number of minima of the 1-D Griewank function in [-n, n].

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%I A178832 #18 Feb 16 2025 08:33:12
%S A178832 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 A178832 11,11,11,11,11,13,13,13,13,13,13,15,15,15,15,15,15,15,17,17,17,17,17,
%U A178832 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 A178832 Number of minima of the 1-D Griewank function in [-n, n].
%C A178832 Appears to be equal to the number of positive roots for x-cos(nx)=0. - _Yuriy Sibirmovsky_, Sep 11 2016
%H A178832 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GriewankFunction.html">Griewank Function</a>
%e A178832 Minima occur at 0 and near +/- 6.28005, 12.5601, 18.8401, 25.1202, ...
%t A178832 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 A178832 Cf. A177889.
%K A178832 nonn
%O A178832 0,8
%A A178832 _Eric W. Weisstein_, Dec 27 2010