There are (n2 - n) / 2 moves required.
I am not aware that "stampled" is a word beyond a cross between stampede and trample, but I believe you wish to reverse the order of numbers from 1 to n where only two consecutive numbers can be swapped per step.
This process will show a pattern of triangular numbers. For example:
Let us suppose there are 3 numbers 1,2,3: To move the last (highest) number to the first place requires 2 steps. The second highest number is now in the last place. To move it to the second place requires 1 step. Finished. Total = 3 steps.
Or:
If there are 4 numbers, i.e. 1,2,3,4:
3 steps + 2 steps + 1 step = 6 steps total. We know it is only 3 steps more than the last example because once we have moved the 4 to the first place we then simply have to do the above again (rearrange the 1,2,3, to 3,2,1).
So you can see that the number of steps are all triangular numbers.
A triangular number is calculated by n(n+1) / 2. So we can use this formula, but we need to alter it because the number of steps are for the previous triangular number. E.g. Where there are 4 numbers we have to do 1+2+3 steps to reorder it (see above).
Therefore if we make our formula (n - 1) n / 2 = (n2 - n) / 2 then this will work.
Defining "consecutive" as "following continuously in unbroken or logical sequence," it is possible to have many different types of consecutive things: consecutive days, months, odd numbers, even numbers, etc. The list you have is consecutive, they are consecutive multiples of ten.
There are no three consecutive numbers with a sum of 170.
2 and 3 are the only consecutive prime numbers.
2 and 3 are the only consecutive numbers that are prime.
Consecutive numbers are numbers which are next to each other, such as 1, 2, and 3, or 15 and 16.
They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
The numbers 2 and 3 are consecutive prime numbers. Are there other pairs of prime numbers which are consecutive numbers?
There are no two consecutive odd numbers.
The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.The 13 consecutive numbers from 114 to 126 are composite.
numbers with patterns; consecutive numbers: 1,2,3,4... consecutive even numbers: 2,4,6,8... and many more Consecutive numbers are numbers that come one after another. For example 5, 6, 7 or 99 and 100.
2 and 3 are consecutive prime numbers.
You could say these are consecutive ODD numbers.
Defining "consecutive" as "following continuously in unbroken or logical sequence," it is possible to have many different types of consecutive things: consecutive days, months, odd numbers, even numbers, etc. The list you have is consecutive, they are consecutive multiples of ten.
Reciprocals.
There are two consecutive even numbers. The numbers are 62 and 64.
There are two consecutive even numbers. The numbers are 26 and 28.