int wert;
int j = 0;

void setup() {
  // put your setup code here, to run once:
  Serial.begin(9600);
}

void loop() {
  // put your main code here, to run repeatedly:

  for (int i = 1; i <=1024; i*=2) {
    Serial.print("i: \t");
    Serial.print(i);
    j = i-1;
    wert = map(j, 0,1023,0,255);
    Serial.print("\t, j: \t");
    Serial.print(j);
    Serial.print("\t, wert: \t");
    Serial.println(wert);
    delay(100);
  }

  for (int i = 0; i <=1023; i++) {
    wert = map(i, 0,1023,0,255);
    Serial.print("i: \t");
    Serial.print(i);
    Serial.print("\t, wert: \t");
    Serial.println(wert);
    delay(20);
  }

  for (int i = 550; i <=1023; i++) {
    wert = map(i, 550, 1023, 0, 255);
    Serial.print("i: \t");
    Serial.print(i);
    Serial.print("\t, wert: \t");
    Serial.println(wert);
    delay(50);
  }

}