# Number of distinct diagrams.

by whynothis
Tags: diagrams, distinct, number
 P: 15 I was just trying to think of a simple relation to find the number of distinct diagrams to a given order within a theory (specifically I am thinking of a $$\phi^{4}$$ scalar theory). I am reading Tony Zee's book and am working through his "baby problem" where he expands the integral: $$\int_{-\inf}^{\inf} dq e^{-\frac{1}{2}m^{2}q^{2}+Jq-\frac{\lambda}{4!}q^{4}$$ in both in powers of $$\lambda$$ and J so that we can pick out diagrams to a specific order in both. So is there a way to find the total number of distinct diagrams to order $$(\lambda^{n},J^{m})$$? Thanks in Advanced