A337619 a(n) is the number of vertical segments originating from some grid point on the n-th antidiagonal of the Even Conant lattice.

1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 1, 3, 1, 2, 3, 4, 2, 4, 1, 4, 1, 5, 4, 4, 1, 6, 3, 4, 1, 4, 2, 6, 3, 6, 4, 8, 2, 6, 4, 5, 1, 10, 4, 5, 1, 9, 5, 12, 4, 5, 4, 10, 1, 9, 6, 5, 3, 11, 4, 7, 1, 8, 4, 11, 2, 10, 6, 7, 3, 9, 6, 16, 4, 12, 8, 14, 2, 7, 6, 15

Offset

0,6

Comments

a(n) is the number of k in the range 0..n such that k = 0 or (A337265(k, n-k) = 1 and A337265(k-1, n-k) = 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 A337619

Example

See Links section.

Prog

(C++) See Links section.

Crossrefs

Cf. A328078, A337265, A337618.

Sequence in context: A284345 A347463 A373378 * A183214 A346009 A344756

Adjacent sequences: A337616 A337617 A337618 * A337620 A337621 A337622

Keyword

nonn,look

Author

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

Status

approved