Re: hi,friends(8)

*To*: mathgroup at smc.vnet.net*Subject*: [mg92181] Re: hi,friends(8)*From*: Szabolcs Horvát <szhorvat at gmail.com>*Date*: Mon, 22 Sep 2008 07:08:36 -0400 (EDT)*Organization*: University of Bergen*References*: <gb7o7i$nas$1@smc.vnet.net>

China -->hk wrote: > hi,friends: > Can we use Mathematica to solve the following recurrence function problem? > f[1,1]=1,f[m,n+1]=f[m,n]+2,f[m+1,n]=2*f[m,n],m,n are positive integers.f[m,n]=? > thanks, > Recurrence equations can be solved with RSolve, but there is a little problem with your set of equations: f[1,1] = 1 f[1,2] = f[1,1] + 2 = 3 f[2,2] = 2*f[1,2] = 6 f[1,1] = 1 f[2,1] = 2*f[1,1] = 2 f[2,2] = f[2,1] + 2 = 4