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Number of nonassociative subloops of order 8n of the Cayley octonions (up to isomorphism).

+0
1

0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; listen)

	OFFSET	`1,6`
	COMMENT	`Every nonassociative subloop of the octonions has order a multiple of 8.`
	REFERENCES	`P. Boddington and D. Rumynin, On Curtis' theorem about finite octonionic loops, Proc. Amer. Math. Soc. 135 (2007), 1651-1657.`
	FORMULA	`a(1) = 0, a(6) = 2, a(12) = 2, a(30) = 3, otherwise a(n) = 1.`
	CROSSREFS	`Cf. A090750.` `Sequence in context: A087436 A053255 A085856 this_sequence A031264 A106751 A043279` `Adjacent sequences: A132123 A132124 A132125 this_sequence A132127 A132128 A132129`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Boddington (pbotherstuff(AT)yahoo.co.uk), Oct 31 2007`

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.

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