Maths Problem help?

Maths Problem help?



If a tribonacci sequence has 20 as its second seed and 17 as its third seed, find all positive integers that can be its first seed so that 2017 appears as a term somewhere in the sequence. 
Note: Tribonicca is the sequence of number the fourth onwards is the sum of the previous three terms. 

For example: the first 3 numbers called seeds are 1, 2, 3. The next number is 6 then next one is 11 and so on. 
Thanks





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