A337621 a(n) is the length of the largest run of contiguous grid points on the n-th antidiagonal of the Even Conant lattice that are not on an edge, or 0 if no such point exists.

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 4, 4, 3, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 2, 2, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 2

Offset

0,15

Links

Rémy Sigrist, Table of n, a(n) for n = 0..8191

Rémy Sigrist, Illustration of initial terms

Rémy Sigrist, Scatterplot of the first 2^15 terms

Rémy Sigrist, C++ program for A337621

Formula

a(n) <= A337620(n).

Apparently, abs(a(2*n) - 2*a(n)) <= 1.

Example

See Links section.

Prog

(C++) See Links section.

Crossrefs

Cf. A328078, A337620, A337622.

Sequence in context: A064286 A002471 A218622 * A091243 A306615 A037826

Adjacent sequences: A337618 A337619 A337620 * A337622 A337623 A337624

Keyword

nonn,look

Author

Rémy Sigrist, Sep 09 2020

Status

approved