Gomez Sequence

[rhlm]

firtly, the sequence is made of numbers in the form --> even,odd,odd,even,odd,odd,even,.......
And starting at 9, it goes like:
9,two numbers, 19, two numbers, 29,......
to go from 9 to 19: add 6, then add 3, then add 1
to go from 19 to 29: add 2, then add 3, then add 5
so: (6,3,1) --> (2,3,5) the number 3 stays in the middle and the other two numbers rotate, subtracting 1 from the correspondent of "6", and adding 1 to the correspondent of "1". So, the next is (4,3,3), and the other is (4,3,3) too.
so the next five numbers are .....33,36,39,43,46
this result is of the form odd,even,odd,odd,even,... like the gomez sequence.

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[CrystyB]

Very interesting. ((Though you should've considered the fact that Gomez himself said the answer is "31 37 40 42 55" ))