DISTRACTED BY NEW CLRNCS; WORKLOAD ASSOCIATED WITH SINGLE ENGINE TAXI AND A CHANGED DEP RWY; A320 FLT CREW FAILS TO HOLD SHORT OF ACTIVE RWY AS CLRED. ACFT ON FINAL MUST GAR.

Narrative

AS WE TAXIED OFF THE RAMP IN LGA (AT NIGHT) OUR INITIAL CLRNC WAS TO DEPART RWY 31; HDG 340 DEGS. WE WERE TOLD TO TAXI ON TXWY B AND HOLD SHORT OF GG. AS WE WERE APCHING GG WE WERE ISSUED THE CONEY CLB OFF RWY 13 AS THE #2 ENG WAS FINISHING ITS START CYCLE. THE FO WAS HEADS DOWN WHILE HE WAS TYPING IN THE NEW DEP. WE WERE THEN GIVEN INSTRUCTIONS TO TAXI STRAIGHT AHEAD ON TXWY B TO TXWY P AND HOLD SHORT RWY 22. FO READ BACK THE INSTRUCTIONS CORRECTLY. I ALSO REPEATED THE INSTRUCTIONS OUT LOUD AS I ALWAYS DO; SO THE FO KNOWS I HEARD THE INSTRUCTIONS PROPERLY. SUBSEQUENTLY; I BECAME TASK SATURATED AS I LET MYSELF GET DISTR AS I TURNED OFF THE APU AND WAS GLANCING AT THE MCDU ON THE FO'S SIDE TO ENSURE THE DEP WAS BEING LOADED CORRECTLY. FO WAS NEW ON THE ACFT. WE COMPLETED THE AFTER START CHKLIST AND STARTED TO RUN NEW NUMBERS AND VERIFY THE DEP. AS WE APCHED THE RWY; I TURNED ON THE STROBE AND WING LIGHT AND STATED OUT LOUD; 'XING THE RWY; CLR L; HOLD ON THE BOX.' MOMENTS LATER; FO STATED; 'STOP;' AS HE WAS STILL HEADS DOWN. AS I WAS STOPPING THE ACFT THE CTLR SAID; 'HOLD SHORT RWY 22.' AT THAT POINT; THE NOSE OF THE ACFT WAS PAST THE HOLD SHORT LINE. SUBSEQUENTLY; ATC ISSUED A GAR FOR THE ACFT ON FINAL APCH. WHAT CONCERNS ME IS THAT EVEN THOUGH I WAS AWARE OF OUR POS THE INSTRUCTION TO HOLD SHORT GOT LOST IN THE FLURRY OF ACTIVITY. ALTHOUGH I TAKE FULL RESPONSIBILITY FOR THE INCURSION; THERE ARE MITIGATING CIRCUMSTANCES THAT I FEEL ARE WORTH MENTIONING. WE SHOULD HAVE STARTED BOTH ENGS ON THE RAMP SINCE WE KNEW IT WOULD BE A SHORT TAXI BECAUSE THERE WAS ONLY 1 OTHER ACFT TAXIING. WE ELECTED TO 1 ENG TAXI AND BE RUSHED BECAUSE A COMPANY ACFT WAS WAITING TO COME INTO THE RAMP. WHILE WE WERE IN THE HOT SPOT; I SHOULD HAVE ASKED THE FO TO BE HEADS UP AND FINISH THE AFTER START CHKLIST PRIOR TO ACCEPTING A NEW CLRNC. NOW WE WERE WORKING ON MULTIPLE TASKS AT THE SAME TIME. ADDING TO THE INCREASED WORKLOAD I WAS FEELING FATIGUED AFTER HAVING A LONG DAY AT HOME AND NOT BEING FRESH AS I JUST RETURNED FROM A WK OFF. I AM VERY TROUBLED BY THIS EVENT AND WILL CERTAINLY TAKE AWAY A VALUABLE LEARNING EXPERIENCE. IN THE FUTURE; I WILL INCLUDE AS PART OF MY TAXI BRIEF THAT WE WILL MAINTAIN HEADS UP IN ALL HOT SPOTS WHILE MOVING OR NOT. I WILL ALSO REAFFIRM MY COMMITMENT TO NOT LET INTERNAL OR EXTERNAL FACTORS AFFECT MY TEMPOR IN SAFELY OPERATING AN ACFT. AS IN MOST OTHER RWY INCURSION INCIDENTS; I CAN CLRLY SEE HOW ADDITIONAL TXWY LIGHTING COULD HAVE HELPED; SUCH AS A RED STOP BAR TO GET MY ATTN.