OFFSET
1,2
COMMENTS
We consider infinite matrices with finitely many nonzero entries; the square of these matrices is well defined. Also we operate on GF(2), all entries are 0 or 1.
There are infinitely many fixed points, for example the even squarefree numbers (A039956).
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..20000
Rémy Sigrist, PARI program for A348091
EXAMPLE
For n = 24:
- 24 = 2^2^0 * 2^2^1 * 3^2^0,
[1 1 .]
- so f(24) = [1 0 .],
[. . .]
[0 1 .]
- f(24)^2 = [1 1 .],
[. . .]
- a(24) = 2^2^1 * 3^2^0 * 3^2^1 = 108.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,look
AUTHOR
Rémy Sigrist, Sep 29 2021
STATUS
approved