After hearing Paul's latest Basic Japanese lesson. I did some research and found the lyrics for
Mori no Kuma-san:
Ho-ho-ho-ho-ho-ho-ho-ho~! Ho-ho-ho-ho-ho-ho-ho-ho~!
Aru hi mori no naka kuma-san ni deatta
Hana saku mori no michi kuma-san ni deatta
Kuma-san no iu koto nya Ojousan o-nige nasai
Sutakorasassassa no sa Sutakorasassassa no sa
Tokoro ga kuma-san ga ato kara tsuite kuru
Tokotokotokkotokkoto Tokotokotokkotokkoto
They're not exactly the same, but it might help you to understand the song. I also found this other version:
Aru hi mori no naka
kuma-san ni deatta
Hana saku mori no michi
kuma-san ni deatta
Kuma-san no iu koto nya
Haya aku o-nige nasai
Sutakorasassassa no sa
Sutakorasassassa no sa
Kere domo kuma-san ga
ato kara tsuite kuru
Tokotokotokkotokkoto
Tokotokotokkotokkoto
Also here's a nice pic I found:

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