login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A337263 Array read by antidiagonals: v(m,n) (m>=0, n>=0) = 1 if there is an edge upward from grid point (m,n) in the Even Conant lattice. 3

%I #17 Aug 23 2020 22:23:18

%S 1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,

%T 1,1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,

%U 1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1

%N Array read by antidiagonals: v(m,n) (m>=0, n>=0) = 1 if there is an edge upward from grid point (m,n) in the Even Conant lattice.

%H N. J. A. Sloane, <a href="/A328078/a328078_2.txt">Notes on the Conant Gasket, the Conant Lattice, and Associated Sequences</a>, Preliminary version, Aug 23 2020

%H N. J. A. Sloane, <a href="/A328078/a328078_5.pdf">The Even Conant Lattice</a> (The grid points (m,n) are labeled with pairs v(m,n), h(m,n).)

%e 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):

%e row 7 = 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, ...

%e row 6 = 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, ...

%e row 5 = 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, ...

%e row 4 = 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, ...

%e row 3 = 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, ...

%e row 2 = 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, ...

%e row 1 = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

%e row 0 = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

%e The initial antidiagonals (starting in the bottom left corner) are:

%e [1]

%e [1, 1]

%e [1, 1, 1]

%e [1, 0, 1, 1]

%e [1, 0, 1, 1, 1]

%e [1, 1, 1, 1, 1, 1]

%e [1, 1, 0, 1, 1, 1, 1]

%e [1, 0, 0, 0, 1, 0, 1, 1]

%e [1, 0, 0, 0, 1, 0, 1, 1, 1]

%e [1, 1, 0, 1, 1, 0, 1, 1, 1, 1]

%e [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1]

%e [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1]

%e [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1]

%e ...

%p For Maple code see my "Notes".

%Y Cf. A328078, A328080, A337264, A337265, A337266.

%K nonn,tabl

%O 0

%A _N. J. A. Sloane_, Aug 22 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 8 10:35 EDT 2024. Contains 372332 sequences. (Running on oeis4.)