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Integers n such that either (a) A186053(n) does not equal A002024(n) + A182298(A025581(n)) or (b) A182298(n) does not equal 1 + A002024(n) + A186053(A025581(n)).
1

%I #38 Feb 27 2020 20:41:23

%S 0,2,4,7,8,11,16,17,29,92,125,154,155,174,361,390,441,473,529,564,601,

%T 637,704,742,743,783,837,1003,1147,1184,1340,1341,1380,1394,1548,1549,

%U 1606,1665,1771,1772,1833,1896

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

%C Comprehensive list of the 177 terms can be found in the paper. The link proves this list of counterexamples is comprehensive, but there is nothing currently known that explains the behavior of this list.

%H Michel Marcus, <a href="/A182245/b182245.txt">Table of n, a(n) for n = 1..177</a> (from Devlin papers).

%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.

%Y Cf. A186053.

%K nonn,fini,full

%O 1,2

%A _Patrick Devlin_, Apr 23 2012

%E Missing term 1548 added by _Michel Marcus_, May 27 2015