login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 1

%I #26 Sep 04 2020 19:32:03

%S 4,8,10,14,16,19,21,24,27,29,31,33,37,39,41,43,46,48,50,51,53,55,58,

%T 60,62,64,66,69,72,74,76,78,80,82,83,84,87,90,92,94,96,98,100,101,103,

%U 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 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 Indices of the rows that contain a zero in the triangle A279385.

%C 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 a240542[n_] := Sum[(-1)^(k+1)*Ceiling[(n+1)/k - (k+1)/2], {k, 1, Floor[(Sqrt[8n+1]-1)/2]}]

%t 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[153] (* _Hartmut F. W. Hoft_, Aug 07 2020 *)

%Y Complement of A282131.

%Y Cf. A196020, A235791, A236104, A237048, A237591, A237593, A244050, A245092, A262626, A279385.

%Y Cf. A240542, A259179.

%K nonn

%O 1,1

%A _Omar E. Pol_, Feb 19 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)