Best analogy would be the most perfect Playlist shuffling algorithm (which instantly picks up a track in the list, but doesn't repeat) .. The only way left is to convert that shuffling algorithm into a complicated formula .. ;-) I know its certainly hardly possible stuff .. well. by the way, I don't forget to thank your support and interest ..

In case of programming we are facilitated with RAM and processor resolving algorithm with powerful loops and stuff .. But as you know thats not the case with mapping .. where we are left with only a (essentially complicated,) formula which picks the numbers in jumbled fashion (not-repeatedly) ..

Well said @david .. and I am glad that you appreciated my questioning .. The answer has not been actually accepted (I just accepted Douglas's answer because he said ITS POSSIBLE) .. and I am still doing research on the need ..

Thanks for the support sir, I will refer this as the answer and follow-on ..

This wasn't an off-topic or program related question, I was working on Excel file and needed a mathematical support, so asked that in this forum .. I don't know what was the strong reason behind closing the question .. (yes)I am a programmer and my account is there in stackoverflow .. stackoverflow.com/users/215234/infant-programmer .. But that has nothing to deal with my question and closing the question doesn't matter by the way .. I have got my answer and I have accepted it too .. thank you mathoverflow all the ways ..

That's really great of you sir .. thanx for help and support .. :-)

Yup I agree with you @Harry Gindi

Thanx for the useful link .. Please add-up something if you are familiar with, which helps in mapping rather than programming .. Mapping I mean to say is something where it is allowed to write one formula (no conditions and loops) common for all numbers ..

Not exactly its again helpful for programmers .. I need to map that in an excel sheet .. I am just trying to avoid programming .. In case of mapping we are not allowed to use conditional statements or loops .. I am trying many things in parallel, I will sure write it if I get something working in my favor .. thanx for the concern and interaction .. For the time-being I will upvote and accept Steve Huntsman .. which seems a somewhat relevant ..

I don't need a program .. It must be a kind of PICK .. like in the above example, If I want to pick the first number it should map to the number 3 .. which is because of the function or formula f(n) .. I need to create such a kind of formula which is generalized for all the values of N .. thanx for the response .. :-)

Nah ! this is not a programming related question.. its pure maths .. and that is what I have written there .. By the way .. Its quite easy with the programming I know ..