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As Kathryn (Jillybean) says it may be Roman Keycard Gerber that you are looking for. Alternatively, it may be something like Roman Blackwood https://www.bridgebum.com/roman_blackwood.php. That would mean that the responses to 4 would be

4=0 or 3

4=1 or 4

4=one pointed ace (spade or diamond) and one rounded ace (heart or club)

4NT=two pointed aces OR two rounded aces

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I am looking for what kind bidding sequences would lead up to using this bid.

 

The responses I found on the internet after the 4C bid were:

4D 0-3 Aces

4H 1 or 4 Aces

4S 2 Aces without extra values

4NT 2 Aces with extra values

 

jerdonald

I interpret the extra values described above as relating to the lower or upper part of the NT opening bid range.

 

1NT-4 is a possible sequence, but any hand where opener typically ends up in 3NT and responder wants to investigate a NT slam either based on hcp or with a long suit and trick taking ability

There are also Gerberesque versions which show a king count instead of the extra values

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