A343621 Numbers k such that the largest Dyck path of the symmetric representation of sigma(k) does not touch the largest Dyck path of the symmetric representation of sigma(k+1).

1, 3, 5, 7, 11, 15, 17, 19, 23, 27, 29, 31, 35, 39, 41, 47, 53, 55, 59, 63, 65, 71, 79, 83, 87, 89, 95, 99, 103, 107, 111, 119, 125, 127, 131, 139, 143, 149, 155, 159, 161, 167, 175, 179, 191, 195, 197, 199, 203, 207, 209, 215, 219, 223, 227, 233, 239, 251, 255

Offset

1,2

Comments

This property of a(n) is because the symmetric representation of sigma(a(n)+1) has only one part.

All terms are odd.

First differs from A085493 at a(22).

Links

Table of n, a(n) for n=1..59.

Formula

a(n) = A174973(n+1) - 1.

a(n) = A238443(n+1) - 1.

Crossrefs

Cf. A174973 = A238443.

Cf. A000203, A085493, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A239931, A239932, A239933, A239934, A262626.

Sequence in context: A082418 A319899 A085493 * A139252 A076245 A370647

Adjacent sequences: A343618 A343619 A343620 * A343622 A343623 A343624

Keyword

nonn

Author

Omar E. Pol, Aug 04 2021

Status

approved