The analogWrite function is just an interface to setting up the hardware timers to do PWM (pulse-width modulation). I have a page about timers which you may find helpful.

Depending on which pin you want to output the PWM to, the registers will be slightly different. Here is one example from my page:

const byte OUTPUT_PIN = 3;  // Timer 2 "B" output: OC2B

const byte n = 224;  // for example, 1.111 kHz

void setup() 
 {
  pinMode (OUTPUT_PIN, OUTPUT);

  TCCR2A = bit (WGM20) | bit (WGM21) | bit (COM2B1); // fast PWM, clear OC2A on compare
  TCCR2B = bit (WGM22) | bit (CS22);         // fast PWM, prescaler of 64
  OCR2A =  n;                                // from table  
  OCR2B = ((n + 1) / 2) - 1;                 // 50% duty cycle
  }  // end of setup

void loop() { }

The analogWrite function is just an interface to setting up the hardware timers to do PWM (pulse-width modulation). I have a page about timers which you may find helpful.

Depending on which pin you want to output the PWM to, the registers will be slightly different. Here is one example from my page:

const byte OUTPUT_PIN = 3;  // Timer 2 "B" output: OC2B

const byte n = 224;  // for example, 1.111 kHz

void setup() 
 {
  pinMode (OUTPUT_PIN, OUTPUT);

  TCCR2A = bit (WGM20) | bit (WGM21) | bit (COM2B1); // fast PWM, clear OC2A on compare
  TCCR2B = bit (WGM22) | bit (CS22);         // fast PWM, prescaler of 64
  OCR2A =  n;                                // from table  
  OCR2B = ((n + 1) / 2) - 1;                 // 50% duty cycle
  }  // end of setup

void loop() { }

How can I output a specific value on a pin ?

I should point out that the only values you can output are +5V or 0V. There is no provision for outputting (say) 3.7V. The only way you can sort-of do this is by using PWM and then running the result through an RC filter. There is an example on my page about op amps.

An example circuit could be:

This uses a resistor and capacitor to filter out the "ripple" in the PWM, giving you a reasonably smooth output voltage, proportional to the PWM duty cycle.

For a larger range of output values a rail-to-rail op-amp would be preferable.