

A178832


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


1



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, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 17, 17, 17, 17, 17, 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
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OFFSET

0,8


COMMENTS

Appears to be equal to the number of positive roots for xcos(nx)=0.  Yuriy Sibirmovsky, Sep 11 2016


LINKS

Table of n, a(n) for n=0..108.
Eric Weisstein's World of Mathematics, Griewank Function


EXAMPLE

Minima occur at 0 and near +/ 6.28005, 12.5601, 18.8401, 25.1202, ...


MATHEMATICA

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 *)


CROSSREFS

Cf. A177889.
Sequence in context: A301415 A210509 A216944 * A111233 A210746 A283986
Adjacent sequences: A178829 A178830 A178831 * A178833 A178834 A178835


KEYWORD

nonn


AUTHOR

Eric W. Weisstein, Dec 27 2010


STATUS

approved



