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A299482 Numbers m such that in the diagram of the symmetric representation of sigma(k) described in A237593 there is no Dyck path that contains the point (m,m), where both k and m are positive integers.

%I A299482 #26 Sep 04 2020 19:32:03
%S A299482 4,8,10,14,16,19,21,24,27,29,31,33,37,39,41,43,46,48,50,51,53,55,58,
%T A299482 60,62,64,66,69,72,74,76,78,80,82,83,84,87,90,92,94,96,98,100,101,103,
%U A299482 105,107,109,111,114,116,119,121,123,124,125,127,129,131,133,135,138,141,143,145,147,149,151,153
%N A299482 Numbers m such that in the diagram of the symmetric representation of sigma(k) described in A237593 there is no Dyck path that contains the point (m,m), where both k and m are positive integers.
%C A299482 Indices of the rows that contain a zero in the triangle A279385.
%C A299482 a(n) is the index of the n-th zero in A259179; i.e. A259179(a(n)) = 0. - _Hartmut F. W. Hoft_, Aug 07 2020
%t A299482 a240542[n_] := Sum[(-1)^(k+1)*Ceiling[(n+1)/k - (k+1)/2], {k, 1, Floor[(Sqrt[8n+1]-1)/2]}]
%t A299482 a299482[n_] := Module[{t=Table[0, n], k=1, d=1}, While[d<=n, t[[d]]+=1; d=a240542[++k]]; Flatten[Position[t, 0]]]
%t A299482 a299482[153] (* _Hartmut F. W. Hoft_, Aug 07 2020 *)
%Y A299482 Complement of A282131.
%Y A299482 Cf. A196020, A235791, A236104, A237048, A237591, A237593, A244050, A245092, A262626, A279385.
%Y A299482 Cf. A240542, A259179.
%K A299482 nonn
%O A299482 1,1
%A A299482 _Omar E. Pol_, Feb 19 2018