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%I #8 Jan 20 2024 09:43:59
%S 1,2,2187
%N Orders k such that there exists a group of order k with automorphism group of odd order.
%H Peter Hegarty and Desmond MacHale, <a href="https://doi.org/10.1515/jgt.2009.043">Minimal Odd Order Automorphism Groups</a>, Journal of Group Theory, 13 (2009), 243-255; arXiv:<a href="https://arxiv.org/abs/0905.0993">0905.0993</a> [math.GR], 2009.
%e a(1)=1 since the trivial group has automorphism group of order 1. a(2)=2 since C_2 has automorphism group of order 1.
%Y Cf. A340521, A365179.
%K nonn,bref,more,hard
%O 1,2
%A _Robin Jones_, Dec 26 2023
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