A337265 Array read by antidiagonals: T(m,n) (m>=0, n>=0) = 3 if there is both an edge upward from grid point (m,n) in the Even Conant lattice and an edge to the right; = 2 if there is only an edge upward; = 1 if there is only an edge to the right; = 0 if neither of those edges are present.

3, 3, 3, 3, 2, 3, 3, 1, 3, 3, 3, 1, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 3, 3, 2, 3, 3, 1, 0, 1, 2, 1, 3, 3, 3, 1, 1, 0, 2, 0, 2, 2, 3, 3, 3, 1, 3, 3, 0, 3, 2, 3, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 3, 1, 3, 1, 3, 0, 2, 2, 3, 1, 3, 3, 3, 1, 2, 1, 1, 1, 3, 3, 3, 1, 2, 2, 3

Offset

0,1

Comments

In other words, T(m,n) = 2*v(m,n)+h(m,n), where v is given in A337263 and h is in A337264.

The '3' entries are in one-to-one correspondence with the cells in the Even Conant Lattice (see A328080).

Links

Table of n, a(n) for n=0..90.

N. J. A. Sloane, Notes on the Conant Gasket, the Conant Lattice, and Associated Sequences, Preliminary version, Aug 23 2020

N. J. A. Sloane, The Even Conant Lattice (The grid points (m,n) are labeled with pairs v(m,n), h(m,n).)

Example

The array begins as follows. The rows are shown in the appropriate order for looking at the first quadrant (that is, row 0 is at the bottom, then row 1, and so on):
r
row 7 = 3, 1, 1, 2, 3, 1, 2, 0, 3, 2, 0, 0, 3, 2, 3, 2, ...
row 6 = 3, 1, 1, 3, 2, 0, 3, 1, 2, 2, 0, 0, 3, 3, 2, 2, ...
row 5 = 3, 2, 0, 0, 3, 1, 2, 3, 2, 3, 1, 1, 2, 0, 3, 2, ...
row 4 = 3, 3, 1, 1, 2, 0, 2, 2, 3, 3, 1, 1, 2, 0, 2, 2, ...
row 3 = 3, 1, 2, 3, 2, 0, 3, 2, 3, 1, 2, 3, 2, 0, 3, 2, ...
row 2 = 3, 1, 2, 2, 3, 1, 2, 2, 3, 1, 2, 2, 3, 1, 2, 2, ...
row 1 = 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, ...
row 0 = 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, ...
The initial antidiagonals (starting in the bottom left corner) are:
[3]
[3, 3]
[3, 2, 3]
[3, 1, 3, 3]
[3, 1, 2, 2, 3]
[3, 3, 2, 2, 3, 3]
[3, 2, 1, 3, 3, 2, 3]
[3, 1, 0, 1, 2, 1, 3, 3]
[3, 1, 1, 0, 2, 0, 2, 2, 3]
[3, 3, 1, 3, 3, 0, 3, 2, 3, 3]
[3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3]
[3, 1, 3, 1, 3, 0, 2, 2, 3, 1, 3, 3]
[3, 1, 2, 1, 1, 1, 3, 3, 3, 1, 2, 2, 3]
...

Maple

For Maple code see my "Notes".

Crossrefs

Cf. A328078, A328080, A337263, A337264.

Sequence in context: A106694 A183051 A031355 * A177228 A247655 A097675

Adjacent sequences: A337262 A337263 A337264 * A337266 A337267 A337268

Keyword

nonn,tabl

Author

N. J. A. Sloane, Aug 22 2020

Status

approved