It is a valid sequence which is fundamental to arithmetic since its partial sums define the counting numbers.
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every next term is 4 smaller than previous so 7th term = -23
If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.
3
2
First 18 terms of the sequence are: 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597, 2584. Every third term is 2,8,34,144,610,2584. These are all even so the largest number is likely 2.