A283840 Number of ternary maps f : S X S X S -> S on a set S of n elements which can be represented as a superposition of binary maps * : S X S -> S (Version 1).

1, 14, 19292, 4289486984

Offset

1,2

Comments

That is, the number of ternary maps represented in the form f(x, y, z) = (x * y) * z.

Links

Table of n, a(n) for n=1..4.

Pasha Zusmanovich, Lie algebras and around: selected questions, arXiv:1608.05863 [math.RA], 2016.

Prog

(Python)
from itertools import product
def a283840(N):
    s=set()
    for x in product( range(N), repeat=N**2):
        sig=0
        for a in range(N):
            for b in range(N):
                for c in range(N):
                    sig = N*sig + x[N*x[N*a+b]+c]
        s.add(sig)
    return len(s)
# Bert Dobbelaere, Mar 31 2025

Crossrefs

Cf. A283841, A382962.

Sequence in context: A333954 A104376 A053870 * A079176 A344668 A013754

Adjacent sequences: A283837 A283838 A283839 * A283841 A283842 A283843

Keyword

nonn,more

Author

N. J. A. Sloane, Mar 25 2017

Extensions

a(4) from Bert Dobbelaere, Mar 31 2025

Status

approved