User blog comment:XXxKennyDashxXx/A NEW NOTATION! HBAN./@comment-10429372-20150103172542

Let me be honest. This are all quite weak variations of #xE^. When assuming it will all be well-defined, I get the following FGH things:

φ(ω,0,0) for EHBAN.

φ(ω,0,0)+ω+1 for {n,n(● ●)2}

φ(ω,0,0)*2 for {n,n(●_2 )2}

φ(ω,0,0)*k for {n,n(●_k )2}

φ(ω,0,0)*ω+1 for {n,n(♦ )2}

φ(ω,0,0)*(ω+1) for {n,n(♦ ●_2 )2}

φ(ω,0,0)*(ω2)+1 for {n,n(♦ ♦ )2}

φ(ω,0,0)*(ω^2) for {n,n(♦^ ♦ <span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">)2}

φ(ω,0,0)^2 for {n,n(<span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">▲ <span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">)2}

φ(ω,0,0)^2+φ(ω,0,0)*ω+1 for {n,n(<span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">▲ <span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">♦ <span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">)2}

φ(ω,0,0)^2*2 for {n,n(<span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">▲ <span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">▲ <span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">)2}

φ(ω,0,0)^3 for {n,n(<span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">4th symbol <span style="color:rgb(51,51,51);font-family:OpenSans,HelveticaNeue,Helvetica,Arial,sans-serif;line-height:20px;">)2}

φ(ω,0,0)^ω for GHBAN.