Wood J.B. 1995. Raising and Rearing Octopus briareus First published in: The Breeder's Registry; The Journal of Maquaculture. vol 3, no 2. The Cephalopod Page (http://is.dal.ca/~ceph/TCP/) Wood, J.B. Webmaster.
Going through some of older literature this morn I found the following interesting paper:
Itami, K.; Izawa, Y.; Maeda, S.; Nakai, K. 1963: Notes on the laboratory culture of the octopus larvae. Bulletin of the Japanese Society of Scientific Fisheries, 29(6).
I've retyped the English abstract below - it is informative if ever you want to try rearing octopus larvae.
Abstract (slightly abridged)
The larvae of the Japanese commercial octopod, Octopus vulgaris, were successfully reared from the swimming larvae just after hatching to the benthic young octopus in 33 to 40 days on a diet of the zoea larvae of the shrimp, Palaemon serrifer. The rearing experiments were carried out at the Hyogo Prefectural Fisheries Experimental Station from June to September, 1962. At the start of the experiments 200 individuals of the octopus larvae were kept in a glass vessel containing about 8 litres of sea-water. During the early 20 days period the sea-water of each vessel was aerated and renewed every 3rd or 4th day, and after this period the method was changed for the use of running water. The results obtained are summarised as follows:
1) From just after hatching, the larvae of the octopus were fed on the larvae of Palaemon of 2 to 4 mm body length. After transforming into benthic stage, they were given a small piece of ovaries, testes and hepatic glands of the crab, Charybdis japonica. Three or four days after transforming, they were fed on small shrimps and young crabs, Gaetice depressus of 5 to 7 mm carapace width. It was observed that the young octopus of 30 mm total length ate 4 or 5 young crabs in a day.
2) The survival rate of the octopus larvae was found as low as 9 percent through the free-swimming stage. However, it would be conceivably possible to raise this survival rate much higher if sufficient food supply is secured during the rearing experiments.
3) It was found that the larvae settled on the bottom 33 to 40 days after hatching, when they attained a size ranging 10~15mm in total length (3.8~5.7 mm in body length). Once the swimming larvae transformed into the benthic young octopus, they became nocturnal and fed on foods mainly at night. A considerable mortality occurred among the young octopus, which was caused by cannibalism and creeping out of the rearing water.
4) The numbers of suckers found on each arm were 3 at hatching, 5 (4~6) at 10 days, 9 (6~12) at 20 days, 19 (16~22) at 30 days, 24 (21~27) at 40 days and 22~23 when a majority of octopus larvae grew to the benthic stage.
So, if you can procure a suitable food supply for your young octopuses, it looks like you can do this sort of thing at home The number of suckers along the arms of the hatchlings is interesting as I believe we had a similar or related discussion with the blue ring octopus larvae.
The best place to find this information is in the "octopus care" articles under the ARTICLES tab at the top of the page... start there, and then check out the "octopus care" forum for question-and-answer help. What species of octopus are you working with?