A152123 - OEIS

A152123

3^a(n) is the order of the free commutative Moufang loop of exponent 3 on n generators.

4, 12, 49, 220, 1014

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OFFSET

3,1

REFERENCES

Yu. I. Manin, Cubic forms, Amsterdam: North-Holland, 1979.

Yu. I. Manin, Cubic Forms, Second edition, North-Holland Publishing Co., Amsterdam, 1986, page 312. MR0833513 (87d:11037)

LINKS

Alexander N. Grishkov and Ivan P. Shestakov, Commutative Moufang loops and alternative algebras, arXiv:0811.3787 [math.RA], 2008.

Marina Rasskazova, Alexandre Grichkov and Henrique Guzzo, Commutative Moufang loops and cubic hypersurface, 32o Colóquio Brasileiro de Matemática, IMPA, 2019.

Jonathan D. H. Smith, Commutative Moufang loops and Bessel functions, Invent. Math. 67 (1982), no. 1, 173-187.

CROSSREFS

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

Definition changed and a(7) changed by Andrey Zabolotskiy, Sep 28 2021

STATUS

approved