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Recursive function definition

• To: mathgroup at yoda.physics.unc.edu
• Subject: Recursive function definition
• From: Joseph G. Mcwilliams <mcwilljg at euler.sfasu.edu>
• Date: Wed, 22 Sep 93 15:21:13 -0500

I wish to define a recursive function with conditional special cases:

f[n_, a_] := f[n-1,a] + f[n-1,a - n]  


subject to: (1) f[n,0] = 1
		     (2) If a<0 then f[n,a] = 0
		     (3) If a >= n (n-1)/2 then f[n,a] = f[n,n(n+1)/2]

Can anyone help me with this?  Thanks.

---
Joseph McWilliams
mcwilljg at euler.sfasu.edu