(12-27-2025, 05:57 PM)daExile schrieb: other periods like 4 or 8 could be possible, too. I tried to do some guesswork first, to see if I can find other sequences (by starting with two numbers and continuing the sequence, to see if it eventually loops), and found some other examples, like { 1; -1; -2; 2; 4; 2; -2; -1 }, so for n = 2024 the arrangement is not unique.
Correct, your example for an eight-element-period works too, as well as countless other eight-element-periods, but all of them have in common, that the sum of the eight elements is 3, and so the sum of all 2024 elements ist 759...