A337618 a(n) is the number of horizontal segments originating from some grid point on the n-th antidiagonal of the Even Conant lattice.

1, 1, 1, 2, 1, 2, 3, 2, 1, 4, 2, 5, 4, 2, 4, 3, 4, 3, 5, 7, 2, 7, 8, 4, 7, 7, 3, 7, 6, 4, 10, 4, 9, 7, 4, 7, 8, 11, 9, 8, 5, 12, 10, 13, 12, 6, 9, 12, 14, 5, 12, 10, 10, 11, 11, 8, 12, 13, 10, 11, 20, 6, 16, 10, 18, 11, 11, 14, 10, 10, 16, 9, 15, 17, 13, 21

Offset

0,4

Comments

a(n) is the number of k in the range 0..n such that k = 0 or (A337264(n-k, k) = 1 and A337264(n-k, k-1) = 0).

Links

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

Rémy Sigrist, Illustration of initial terms

Rémy Sigrist, Colored scatterplot of the first 2^15 terms (where the color is function of the 2-adic valuation of n)

Rémy Sigrist, C++ program for A337618

Example

See Links section.

Prog

(C++) See Links section.

Crossrefs

Cf. A328078, A337264, A337619.

Sequence in context: A055095 A366770 A355249 * A048685 A364663 A101050

Adjacent sequences: A337615 A337616 A337617 * A337619 A337620 A337621

Keyword

nonn

Author

Rémy Sigrist and N. J. A. Sloane, Sep 08 2020

Status

approved