Allusion על שבת 45:4

Oils and Wicks That Are Fit for Use on Hanukkah, 4 Seifim: 1. All oils and wicks are fit for use for the Hanukkah light, even if the oils are not drawn after the wick, and the illumination is not held well by those wicks. RAMA: However, olive oil is a choice mitzvah, (Mordechai, Kol Bo and Mahari"l) and if olive oil is not available it is a mitzvah with oils whose illumination is pure and clean, and we have the custom in these countries to kindle with wax candles since their illumination is clear like oil. And even on the night of the Sabbath that is in the middle of the days Hanukkah it is permissible to kindle the Hanukkah light with the oils and wicks with which it is prohibited to kindle the Sabbath candles... [this is] if one only puts in the light enough [oil] for the measure of its mitzvah. (Responsa of Rashb"ah Section 170).since it is prohibited to utilize the Hanukkah light whether on the Sabbath or on a weekday, even to check [the authenticity of] coins or to count them by its illumination; even a holy use is prohibited, such as studying [Torah] by its illumination. And there is [an opinion] that permits a holy use. We have the custom to kindle an additional light, in order that if one uses its illumination, it would be the additional light, which was kindled last, and it should be placed at a small distance from the other obligatory lights. In these countries, we do not have the custom to add, one only places by them the auxiliary light with which he kindles the lights, and this is more preferable. And it should be made longer than the other lights, so that if he comes to use [the illumination], he will use that light. (Mordechai) If a Hanukkah light, which is prohibited for pleasure, becomes mixed with other lights, even one in a thousand, it is not nullified, for it is a thing that can be counted. (Terumat Hadeshen Section 103) Rather, one should kindle from the mixture enough [lights] that there is definitely a permissible light lit with the prohibited light, and then it would be permitted to use [their illumination]. ([Ram"a's] own opinion)

1. A lodger for whom no-one is kindling in his own house needs to give a perutah [i.e. a nominal sum] to the landlord to partner with him in the oil of the Hanukkah light. And if he has his own entrance, he needs to light in his entrance, even though that residence is only designated for sleeping, and he eats at the landlord's table. And it is the same law for a son who eats with his father. Rem"a: And there are those that say that nowadays when we kindle actually inside, one should kindle at the place where one eats, and so [people] have made it a custom. (Responsa of Rashba Section 542)