I'm new here and I hope I can find some help. I'm from Germany, so sorry for my English.
I look for a number, whose digits are all different. It isn't known how many digits it has. But there is a rule: Take the first digit, square it and then halve it. The result has to be bigger than the product of the following two digits. And then take the second digit and apply the rule again. The result has to be bigger than the product of the third and fourth digit. And so on. I have to find the biggest number, which fits the problem. I want to use Mathematica and I'm using version 10. I started to find all permutations of
The biggest number I can get is in general abcdefghij with 10 digits. So I want to teach Mathematica the following rule:
a²/2 > bc, b²/2 > cd, c²/2 > de, d²/2 > ef, e²/2 > fg, f²/2 > gh, g²/2 > hi, h²/2 > ij,
How can I ask Mathematica to chose the biggest result?
Any help would be fine.