login
Integers n such that A182298(n) does not equal 1 + A002024(n) + A186053(A025581(n)).
0

%I #37 Feb 27 2020 20:41:45

%S 0,92,154,174,361,441,473,529,564,637,742,743,783,837,1003,1147,1184,

%T 1340,1380,1394,1606,1665,1771,1833,1896,2173,2241,2279,2508,2581,

%U 2867,2945,3250,3333,3336,3503,3588,3657,3745,3925

%N Integers n such that A182298(n) does not equal 1 + A002024(n) + A186053(A025581(n)).

%C Comprehensive list of the 139 numbers are in the link. The link proves this list of counterexamples is comprehensive, but there is nothing currently known that explains the behavior of this list.

%H Patrick Devlin, <a href="http://arxiv.org/abs/1107.2954">Sets with High Volume and Low Perimeter</a>, arXiv:1107.2954 [math.CO], 2011.

%H Patrick Devlin, <a href="http://arxiv.org/abs/1202.1331">Integer Subsets with High Volume and Low Perimeter</a>, arXiv:1202.1331 [math.CO], 2012.

%H Patrick Devlin, <a href="http://www.emis.de/journals/INTEGERS/papers/m32/m32.Abstract.html">Integer Subsets with High Volume and Low Perimeter</a>, INTEGERS, Vol. 12, #A32.

%K nonn,fini

%O 1,2

%A _Patrick Devlin_, Apr 23 2012