10, 48 and 116.
These are derived using the cubic generator:
Un = (-4n3 + 27n2 - 47n + 30)/3 for n = 1, 2, 3, ...
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34-55-89 are.
40.5, 60.75 and 91.125
125 13 23 43 53...
2, 1, 0.5 Half the term each time.
It looks like the Fibonacci sequence grouped in two terms and up. The next should be 8132134.