OFFSET
1,5
COMMENTS
The determinant of the (upper left) n X n submatrix is zero iff n >= 35. (Observation by Bill Gosper, math-fun mailing list.)
The rows are eventually constant sequences, reaching the limit Fibonacci(m+1) after the final 0 in column n = Fibonacci(m+1); the sequence of columns converges to the Fibonacci sequence A000045 without the initial 0.
LINKS
Bill Gosper, mysteriously vanishing sequence, math-fun mailing list, Jul 10 2021
EXAMPLE
The matrix reads:
[1 1 1 1 1 1 1 ...]
[0 2 2 2 2 2 2 ...]
[1 0 3 3 3 3 3 ...]
[1 2 1 0 5 5 5 ...]
[0 2 0 3 2 1 0 ...]
[1 1 1 3 1 6 5 ...]
[1 0 1 1 3 0 5 ...]
(...)
PROG
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
M. F. Hasler, Jul 12 2021
STATUS
approved