The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A299482 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#26 by Sean A. Irvine at Fri Sep 04 19:32:03 EDT 2020

STATUS

editing

approved

#25 by Sean A. Irvine at Fri Sep 04 19:31:59 EDT 2020

COMMENTS

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

STATUS

proposed

editing

#24 by Michel Marcus at Fri Aug 07 09:52:59 EDT 2020

STATUS

editing

proposed

#23 by Michel Marcus at Fri Aug 07 09:52:57 EDT 2020

MATHEMATICA

a299482[153] (* data - __Hartmut F. W. Hoft_, Aug 07 2020 *)

STATUS

proposed

editing

#22 by Hartmut F. W. Hoft at Fri Aug 07 09:51:02 EDT 2020

STATUS

editing

proposed

#21 by Hartmut F. W. Hoft at Fri Aug 07 09:50:54 EDT 2020

COMMENTS

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

MATHEMATICA

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

a299482[n_] := Module[{t=Table[0, n], k=1, d=1}, While[d<=n, t[[d]]+=1; d=a240542[++k]]; Flatten[Position[t, 0]]]

a299482[153] (* data - Hartmut F. W. Hoft, Aug 07 2020 *)

CROSSREFS

Cf. A240542, A259179.

STATUS

approved

editing

#20 by N. J. A. Sloane at Sun Jun 24 11:18:16 EDT 2018

STATUS

proposed

approved

#19 by Omar E. Pol at Wed Jun 20 19:44:55 EDT 2018

STATUS

editing

proposed

#18 by Omar E. Pol at Wed Jun 20 19:44:50 EDT 2018

NAME

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 is a and m are positive integerintegers.

STATUS

proposed

editing

#17 by Omar E. Pol at Wed Jun 20 19:42:44 EDT 2018

STATUS

editing

proposed