ACR LGT TRACK HDG DEV NON ADHERENCE TO SID FROM LGA.

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WE HAD RECEIVED OUR PRE-DEP CLRNC OF TRK 175 TO 2.5 DME THEN L TO 040 DEG; CLB TO 5000 FT. AFTER DISCUSSING THIS WITH THE CAPT; WE TAXIED OUT. SEVERAL ACFT TAKING OFF FROM RWY 13 WERE DOING A STRAIGHT OUT DEP; SO WE ALSO BRIEFED THAT. THE ACFT IN FRONT OF US WAS GIVEN A R TURN TO HDG 175 DEG. WE WERE GIVEN THE SAME INSTRUCTIONS BY TWR. WHEN WE PREVIOUSLY VERIFIED THE CLB OUT WITH CLRNC; WE READ BACK TRACK 175 TO 5000 FT AND WE WERE CLRED OFF FREQ. AFTER TKOF WE MADE THE TURN TO 175 DEG. AT ABOUT 4 DME AND 4000 FT WE TURNED TO A VECTOR HDG FROM DEP CTL OF 360 DEG. THEY ASKED US IF TWR HAD GIVEN US A TURN TO HDG 040 DEG AND WE SAID NO. WE WERE ASKED TO TIGHTEN OUR TURN AND WE DID. THEY TOLD US WE WERE THE THIRD ACFT IN A ROW TO MISS THE TURN TO HDG 040 DEG. THERE WAS SOME CONFUSION BECAUSE SEVERAL PREVIOUS ACFT HAD NOT BEEN GIVEN A TURN BACK TO THE L TO HDG 040 DEG AND HAD BEEN GIVEN A STRAIGHT OUT DEP. ALSO; ON TKOF ROLL; OUR #1 ENG'S EGT REACHED THE LOWER LIMIT OF RED LINE. I ROLLED BACK THE THROTTLE TO PREVENT AN OVERTEMP AND ENG CHANGE. WE PROBABLY SPENT OVER A MIN WATCHING ALL ENG PARAMETERS AND FORGOT ABOUT THE INSTRUCTIONS PRINTED ON THE SID. HAD TWR BEEN MORE POSITIVE IN OUR DEP INSTRUCTION OR HAD CLRNC DELIVERY ASKED FOR A MORE COMPLETE CLB OUT READBACK; OR HAD OUR COMPANY DEP PAGES HAD THAT SPECIFIC INSTRUCTIONS AS A PUBLISHED DEP; THE CONFUSION WOULD HAVE BEEN MIN. ON SUBSEQUENT TRIPS FROM LGA THAT DAY WITH THE SAME RWY 13 DEP; CLRNC DELIVERY WAS VERY SPECIFIC ON ITS READBACK REQUIREMENTS; AND THERE WAS NO CONFUSION ON WHAT TO DO. SUPPLEMENTAL INFO FROM ACN 190950: PRE-DEP CLRNC QUOTED CLB INSTRUCTIONS OF; 'LGA 3 DEP; RWY 13 TR 175 TILL LGA 2.5 DME THEN TILL 040'; AND 'CONTACT CLRNC DELIVERY WITH ATIS; VERIFY CLBOUT.' FO READ BACK; 'TRACK 175 TILL 5000'. CLRNC RESPONDED; 'CONTACT GND.' THE EMPHASIS ON 'ON TIME' SHUTTLE OPS CONTRIBUTED TO MY ACCEPTING A TKOF CLRNC WITH THE INTENT OF SEEKING CLARIFICATION AFTER LIFTOFF FROM TWR. CERTAINLY; THE EXPERIENCE LEVEL OF THE CREW HAD A CONTRIBUTING FACTOR. MY SO WAS ON HER FIRST TRIP AND FO VERY NEW TO FO DUTIES.