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Search: a079243 -id:a079243
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Number of isomorphism classes of associative non-commutative non-anti-associative anti-commutative closed binary operations on a set of order n, listed by class size.
+10
9
0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
CROSSREFS
Row sums give A079243.
Number of isomorphism classes of non-associative non-commutative non-anti-associative non-anti-commutative closed binary operations on a set of order n.
+10
9
0, 0, 2187, 147067071
COMMENTS
Number of isomorphism classes of non-associative non-commutative non-anti-associative anti-commutative closed binary operations on a set of order n.
+10
9
0, 2, 992, 31853003
COMMENTS
Number of isomorphism classes of non-associative non-commutative anti-associative non-anti-commutative closed binary operations on a set of order n.
+10
9
0, 0, 8, 13138
COMMENTS
Number of isomorphism classes of non-associative non-commutative anti-associative anti-commutative closed binary operations on a set of order n.
+10
9
0, 2, 2, 4642
COMMENTS
Number of isomorphism classes of associative commutative non-anti-associative non-anti-commutative closed binary operations on a set of order n.
+10
9
COMMENTS
Number of isomorphism classes of associative non-commutative non-anti-associative non-anti-commutative closed binary operations on a set of order n.
+10
8
0, 0, 0, 10, 127, 1588, 26487, 1610379, 3683808608
FORMULA
A079231(n) + A079233(n) + A079235(n) + A079237(n) + A079196(n) + a(n) + A079243(n) + A079245(n) + A063524(n) = A002489(n).
a(n) = A027851(n) - A001426(n) - A079243(n). - Andrew Howroyd, Jan 27 2022
CROSSREFS
Number of associative non-commutative non-anti-associative anti-commutative closed binary operations on a set of order n.
+10
8
0, 0, 2, 2, 8, 2, 122, 2, 1682
CROSSREFS

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