Mogensen?  

What has your research turned up so far? Have you checked P Lauritsen and Son?

Chairs. BM 61 and 62?

Table. ? ?
Legs are numbered on the top 13, 14, 15 and 16. Appears to be teak.

Table is the BM 65.
The oak looks thristy. What oil should I use? How about the cane? What works best to clean it?

Nice set! Those chairs are very, very nice.
Mogensen really liked to design tables that were teak on the top and white oak below.

This site has good information on cleaning and maintaining cane (rattan):
http://homeguides.sfgate.com/care-strand-cane-bottom-chairs-41429.html
Are you sure the oak has an oil finish? I have some Mogensen chairs that are lacquered, but a lacquer finish never looks dry, so you're probably right about yours being oiled. I use Star-Brite teak oil, which is carried by Ace Hardware stores. It's not terribly moisture resistant on tabletops, though. Other people here have other opinions.

I agree that it is a very nice set.
Since the chairs and table were (presumably) acquired together, that is strong evidence that that chairs are made by P Lauritsen and Son, and not the more prevalent chair manufacturer, Fredericia, who I do not think ever made a version of that table. I am not familiar enough with the chair design to know if there are subtle construction variations between the two manufacturers.
On a related note, the armchair is included in Erhard Rasmussen's booth for the 1962 Cabinetmakers Guild Exhibition. Furnitureindex has both chairs and table as being designed in 1957. If that is true, then it would be uncommon to have a cabinetmaker make a design after factory production. Without knowing any more, I would guess that the chair in the booth was made by P Lauritsen.
Finally, I've also attached some nice drawings, photo, and description of the side chair from the 1968 Mogensen book by Arne Karlsen.

Wonderful information and thank you for the photos! "Bengt and Rickberg Importers" is written in pencil on the underside. According to online records they were out of San Francisco from 1961 - 1963 but then no record is found thereafter.

@cdsilva your book also indicates that "The armchair belonging to the series is shown on p.113" would you have chance to take a photo of that page?
Thank you!

The photo on pg 113 is actually an installation shot from the 1962 exhibition. I've also included other photos and supporting text for that page, but there is no additional info for the armchair itself.
There is an index of manufacturers in the back. Page 113 is attributed to E Rasmussen. As noted earlier, I would guess that the majority of that booth is E Rasmussen, with a P Lauritsen armchair tucked in there.

Thank you again!

A wonderful set, that's for sure! A word maybe about the manufacturers. As I understand it, Rasmussen was Mogensen's carpenter for installations and prototypes. I owe the Mogensen book (from Arne Karlsen, 1968) and the credits for the pictures belong to Lauritsen and son. They produced these chairs. However, in 1980 Lauritsen was taken over by Fredericia. But, since your chairs date from the sixties they are produced by Lauritsen.