Pathologically Eclectic Rubbish Lister  
PerlMonks 
Comment onby gods 
on Feb 11, 2000 at 00:06 UTC ( #3333=superdoc: print w/replies, xml )  Need Help?? 
Ok, it's been communicated that using the entropy function would provide a better approximation to nCr. So here is such a formula:
Let H(eps) := eps.log_2(eps)(1eps)log_2(1eps) be a binary entropy function. Then binom(n, eps.n) is approximately equal to 2^(n.H(eps)). Where eps is short for epsilon. Update: Note that this uses the more common Stirling formula which is slightly less accurate as it truncates terms in the series (instead of approximating them like the formula i posted before). In reply to Re(2): Pascal triange...
by gumby

