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User:Sushil Saini

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I am software programmer. I have over 25 years of experience and worked in Food processing, Sales and IT roles in few international and global organisations.

Few years ago when I have started helping my daughter in mathematics and accidently found new series which I want to submit to community.

This series can start with any  number more than 9, 

if number is even , then next number is obtained by multply by 1.5

else if number is odd and also divisible by 3, then next number obtained by dividing number by 3 and add 1

else if number is odd and not divisible by 3 then next number is obtained simply by adding 1 to number.

After few numbers, series eventually starts to repeat three numbers (4, 6, 9) endlessly.

I would like to add this series and various examples on this.

Lets first number in series starts with 12, series would look like

12, 18, 27, 9, 4, 6, 9, 4, 6, 9, ...

Lets take another example starting with 13

so series would look like 13, 14, 21, 8, 12 , 18, 27, 9, 4, 6, 9, 4, 6, 9,...

Another example, let start with 57

so series would be 57, 58, 87, 30, 45, 16, 24, 36, 54, 81, 28, 42, 63, 22, 33, 12, 18, 27, 9, 4, 6, 9, 4, 6, 9, ...

I have checked 10000 numbers, this works for all numbers from 9 to 10000. Some times , it can take upto 240 numbers before pattern of 4, 6, 9 starts to happen.

This is new series of its own kind and can be used in various places like new patterns , music etc