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a$b={LLLLLL...A...LLLLL,b}{b,b} where A is an a array of L's. a@b=a$a$a...a$a$a with b a's

Next is {L[2],1}{a,b}={a,b/22}=a@b

{a,b/2c}={a@b/2c-1}

{a,b/21/22}={a@b/a@b}

Second order legion arrays behave the same way of normal legion arrays expect with a@b as the prime block.

{L[2],2}{a,b}={a,b//22}

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{L[2]2}{a,b}=a second order lugion array

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a$2b={L[2]L[2]L[2]L[2]L[2]... A ... L[2]L[2]L[2]L[2]L[2]} where A is an a array of L[2]'s

a@2b=a$2a$2a ...a$2a$2b with b a's

This pattern continues with third order, fourth order, ... Nth order N+1th order. ...

{L[1,2],1}{a,b}={L[L[L...L[L[L]]...]],1}{a,a} with b-1 L's

@ means the rest of the array

$ can only contain 1's and seperators.

{L[a,@],1}{b,c}a=a%a%a...a%a%a%a with b a's, where b%c= {L[a-1,@]L[a-1,@]L[a-1,@]L[a-1,@]... A ...L[a-1,@]L[a-1,@]L[a-1,@]L[a-1,@]L[a-1,@],1}{b,b}, where A is a b array of L[a-1,@]

{L[$,1,a,@],1}{b,c}={L[$,L[$,L[$,L...[$,1,a-1,@]...,a-1,@],a-1,@],a-1,@],1}{b,b} with c-1 ,a-1,@'s

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