FK10 CREW FORGOT TO START BOTH ENGS.

Narrative

I'M NOT REALLY SURE HOW TO WRITE THIS UP; I ATTEMPTED TO TAKE OFF ON 1 ENG. WAS A COOL DAY IN CHARLOTTE AND AFTER START WE TAXIED OUT FOR TKOF ON RWY 36 IN CHARLOTTE HEADING TO ROANOKE. THE WX WAS COOL; IN THE 60 DEG RANGE WITH OVCST SKIES. WE ACCOMPLISHED BOTH THE AFTER START AND BEFORE TKOF CHKLISTS AND DID NOT REALIZE THAT I HADN'T STARTED THE SECOND ENG UNTIL WE WERE CLRED FOR TKOF AND ADVANCED THE PWR FOR TKOF ON THE RWY AND DIDN'T ACCELERATE AS NORMAL. WE ADVISED THE TWR WE WERE PULLING OFF THE RWY AND WE WOULD BE READY IN A COUPLE OF MINS. WE STARTED THE SECOND ENG; TAXIED BACK AROUND; AND MADE THE TKOF WHEN CLRED. TFC WAS NOT A PROB; NO ONE WAS ON FINAL AND WE WERE THE ONLY ACFT ON THE END OF THE RWY. THIS WAS DEFINITELY A LOSS OF SITUATIONAL AWARENESS ON MY PART; A CONTRIBUTING FACTOR WAS FATIGUE. THIS WAS THE SECOND DAY OF A 3 DAY TRIP. WE DIDN'T START THE 1ST DAY UNTIL XF45 WITH A DEADHEAD FOLLOWED BY AN XA05 DEP TO AN XG19 LNDG. BECAUSE OF TRANSPORTATION PROBS WE DIDN'T ARRIVE AT OUR OVERNIGHT HOTEL UNTIL AFTER LATE NIGHT AND LEFT AT EARLY AM FOR THE 2ND DAY. WHILE IT WAS A 'LEGAL FAA' REST BREAK IT WAS NOT A RESTFUL NIGHT WITH APPROX 6 HRS SLEEP WHICH FOLLOWED A SIMILAR EVENING AT HOME BEFORE THE TRIP. THE TRIP ENDED WITH AN XA45 AM WAKE UP FOLLOWED BY 5 SCHEDULED LEGS AND A FINISH AT XP30. I WOULD SAY LOSS OF SITUATIONAL AWARENESS COMPOUNDED BY FATIGUE WAS CAUSE. CONTRIBUTING FACTORS WERE MINIMUM REST BREAK WITH A TRIP THAT VIOLATES NATURAL RHYTHMS IN THAT IT'S EARLY TO LATE. OUR SCHEDULING SEEMS TO BE COMPLETELY ECONOMICALLY ORIENTED WITH VERY LITTLE THOUGHT GIVEN TO FATIGUE OR NATURAL BODY REST. THE COMPANY WANTS US TO GET OUR REST AT HOME AN USE US AND ABUSE US ON THE TRIPS WITH SAFETY (THROUGH REST) A NEGOTIATED ITEM.