/*
Usually it is allowed to go to the millis code only every x seconds.
But in this case it is needed to go to the millis code allways,
but not next 2 sec after pressing the button.
*/

unsigned long time1;
int x;

void setup() {

Serial.begin(9600);
Serial.println("BEGIN");
Serial.println();

pinMode(6, INPUT_PULLUP);

}

void loop() {

if (millis() > time1) {
  Serial.println(x++);

  if (digitalRead(6) == LOW) {
    time1 = millis() + 2000;
  }

}

}