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.

4, 8, 10, 14, 16, 19, 21, 24, 27, 29, 31, 33, 37, 39, 41, 43, 46, 48, 50, 51, 53, 55, 58, 60, 62, 64, 66, 69, 72, 74, 76, 78, 80, 82, 83, 84, 87, 90, 92, 94, 96, 98, 100, 101, 103, 105, 107, 109, 111, 114, 116, 119, 121, 123, 124, 125, 127, 129, 131, 133, 135, 138, 141, 143, 145, 147, 149, 151, 153

Offset

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..69.

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] (* Hartmut F. W. Hoft, Aug 07 2020 *)

Crossrefs

Complement of A282131.

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

Cf. A240542, A259179.

Sequence in context: A310985 A342734 A092292 * A171993 A157695 A175228

Adjacent sequences: A299479 A299480 A299481 * A299483 A299484 A299485

Keyword

nonn

Author

Omar E. Pol, Feb 19 2018

Status

approved