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Call a string of letters legal if it can be produced by concatenating (running together) copies of the following strings: ' v ', 'ww', '

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Call a string of letters "legal" if it can be produced by concatenating (running together) copies of the following strings: ' v ', 'ww', ' xxx ' yyy ' and ' zzz '. For each integer n1, let tn be the number of legal strings with n letters. For example, t1=1 (' v ' is the only the legal string). tn=atn1+btn2+ctn3 for each integer n4 where a=b= and c= For each integer n1, let pn be the number of legal strings with n letters that also read the same right to left as they do left to right (like ' xxxvxx, for example). Which of the following expressions is equal to p101 ? p50+3p49t50+t49p50+p49t50+3t48t50+t48p100+p99t100+t99t50+3t49

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