The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
To verify that the series meets the requirements, we must establish what the requirements are:
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
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