. In English, the word “buffalo” can be used as a verb, a common noun, or a place name. This leads to a linguistic puzzl

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In English The Word Buffalo Can Be Used As A Verb A Common Noun Or A Place Name This Leads To A Linguistic Puzzl 1 (82.97 KiB) Viewed 15 times

. In English, the word “buffalo” can be used as a verb, a common noun, or a place name. This leads to a linguistic puzzle where “Buffalo buffalo buffalo buffalo." with n "buffalo”s can be interpreted as a meaningful sentence. However, these sentences may not have a unique interpretation. Let bn denote the number of ways to interpret the sentence, and take bo = b1 = 1. The sequence satisfies the recurrence = n-2 bn = bobn-2 + bibn-3 + b2bn-4+ + bn–260 = bubn-2-k. -2 -3 - k=0 • Find a generating function for bn that does not contain an infinite series. • Use your generating function to find br, where r is the last two digits of your student number.