Strong Law of Small Numbers

Author

Eric W. Weisstein
March 13, 2002

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Numbers/StrongLawofSmallNumbers.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/StrongLawofSmallNumbers.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Second Law

Example 35

f[n_]:=(n^4-6n^3+23n^2-18n+24)/24

f[n]

FactorTerms[Sum[Binomial[n-1,k],{k,0,4}]]

FactorTerms[Binomial[n,4]+Binomial[n,2]+1]

FactorTerms[Binomial[n,4]+Binomial[n-1,2]+n]

Table[f[n],{n,20}]

Example 41

Table[Ceiling[E^((n-1)/2)],{n,0,20}]

Table[Fibonacci[n],{n,20}]