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(Solved): The sequence of square triangular numbers is defined by N0:=0,N1:=1, and, Nk:=34Nk1 ...
The sequence of square triangular numbers is defined by N0?:=0,N1?:=1, and, Nk?:=34Nk?1??Nk?2?+2 for all k?2. The first few terms are 0,1,36,1225,41616,1413721,48024900,1631432881,…. Verify that Nk?1?Nk+1?=(Nk??1)2 for all k?1.