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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. 5
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A106694 A183051 A031355 * A177228 A247655 A097675
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Aug 22 2020
STATUS
approved

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Last modified June 16 11:45 EDT 2024. Contains 373429 sequences. (Running on oeis4.)