The song uses combination of chanting "Jai Ram Jai Jai Ram" and a shloka. The chanting "jai Ram jai jai Ram" are used in many hymns. The shloka is "Shri Raam Raameti Raamei Rame Raame manorame Sahastra naam tattulyam Raam naam Varaanane"
In some versions, the word "tattulyam" is replaced by "samtulyam". If I noticed correctly, "Raavan" serial had "samtulyam".
I know one web site from where lots of devotional songs can be heard. But I do not know if I am allowed to post its URL here.
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