User blog:Boboris02/Iterating Lambda function

Here I will introduse you to a new function,that could grow pretty fast,but not extremely by googological standarts.I call it the iterating lambda function.It was more of a thought experiment,when I first thought of it.It's also very similar to the Ackerman function and the Sudan function.

Here are the basics to it:

\(\Lambda_0(a,0)=a+1\)

\(\Lambda_0(0,b)=\Lambda_0(\Lambda_0 \ldots (\Lambda_0(\Lambda_0(0,b-1),b-1),b-1),b-1)\ldots ),b-1)\) with \(b\) many \(b's\) from the center out.

\(\Lambda_0(a,b)=\Lambda_0(\Lambda_0(a-1,b),b-1)\) \(\Lambda_0(a,b,c,\#,1)=\Lambda_0(a,b,c,\#)\)

\(\Lambda_0(a,b,c)=\Lambda_0(a,\Lambda_0(a,b-1,c),c-1)\)

\(\Lambda_0(a,b,c,d)=\Lambda_0(a,\Lambda_0(a,b-1,c,d),c-1,d)\)

\(\Lambda_0(a,b,1,d)=\Lambda_0(a,b,\Lambda_0(a,b,b,d-1),d-1)\)

This is just a preview of what I'm doing....