Departing pilot reported a near midair collision with an arriving helicopter.

Attributes
ACN	1761190
Time
Date	202009
Local Time Of Day	1801-2400
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Light	Dusk
Aircraft 1
Make Model Name	Cheetah Tiger Traveler AA5 Series
Operating Under FAR Part	Part 91
Flight Phase	Initial Climb
Route In Use	Direct
Aircraft 2
Make Model Name	Robinson R44
Flight Phase	Initial Approach
Route In Use	Direct
Person 1
Function	Single Pilot
Qualification	Flight Crew Commercial Flight Crew Instrument Flight Crew Multiengine
Experience	Flight Crew Last 90 Days 30 Flight Crew Total 2500 Flight Crew Type 135
Events
Anomaly	ATC Issue All Types Conflict NMAC
Miss Distance	Horizontal 300

Narrative:

Upon departure; tower cleared me for departure with left turn out to the north then destination airfield ZZZ1. Simultaneously an R44 helicopter was instructed to enter left downwind at or below 500 ft. With transition landing north ramp. On departure roll I stated that I had the helicopter in sight. During climb out at approximately 400 ft.; I had adsb traffic alert of aircraft 12 o'clock. I then regained sight of the helicopter that appeared to be at my 11 to 12 o'clock at a very short distance away. I executed an immediate left turn as the helicopter was transitioning from my left to right. Tower then informed me that I cut the helicopter off. I informed the tower that I saw the helicopter and it appeared that he was transitioning to the other side of runway. During the entire event both aircraft had each other in sight.things that could mitigate occurrence. My takeoff clearance could have been delayed for landing traffic. I could have continued runway heading or veered to the right and past helicopter then turned north. The helicopter could have executed a wider pattern rather than a direct transition to their intended landing area.

Original NASA ASRS Text

Title: Departing pilot reported a NMAC with an arriving helicopter.

Narrative: Upon departure; Tower cleared me for departure with left turn out to the north then destination airfield ZZZ1. Simultaneously an R44 helicopter was instructed to enter left downwind at or below 500 ft. with transition landing north ramp. On departure roll I stated that I had the helicopter in sight. During climb out at approximately 400 ft.; I had ADSB traffic alert of aircraft 12 o'clock. I then regained sight of the helicopter that appeared to be at my 11 to 12 o'clock at a very short distance away. I executed an immediate left turn as the helicopter was transitioning from my left to right. Tower then informed me that I cut the helicopter off. I informed the Tower that I saw the helicopter and it appeared that he was transitioning to the other side of runway. During the entire event both aircraft had each other in sight.Things that could mitigate occurrence. My takeoff clearance could have been delayed for landing traffic. I could have continued runway heading or veered to the right and past helicopter then turned north. The Helicopter could have executed a wider pattern rather than a direct transition to their intended landing area.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.