OFFSET
1,1
COMMENTS
All nonzero values are powers of two.
LINKS
Peter Kagey, Table of n, a(n) for n = 1..1024
MathOverflow user DSM, Number triangle
FORMULA
Conjectured formula:
a(1) = 2,
a(n) = 0 if n = 2^k + 1 for some k, and
a(n) = 2^A008611(n-4) otherwise.
EXAMPLE
For n = 11, the a(11) = 4 XOR-triangles of side length 11 are:
1 0 1 0 1 1 0 0 0 1 1, 1 0 1 1 1 0 0 1 0 1 1,
1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0
0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1
0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1
0 1 1 0 1 0 1 0 0 1 0 1 1 1
1 0 1 1 1 1 0 1 1 1 0 0
1 1 0 0 0 1 0 0 1 0
0 1 0 0 1 0 1 1
1 1 0 1 1 0
0 1 0 1
1 1
and their reflections across a vertical line.
MATHEMATICA
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Peter Kagey, May 07 2020
EXTENSIONS
More terms from Rémy Sigrist, May 08 2020
STATUS
approved