solve_rec problem

• Subject: solve_rec problem
• From: Richard Hennessy
• Date: Tue, 09 Jun 2009 11:38:12 -0400

I think I don't understand solve_rec() in the solve_rec package.

I tried 

(%i13) display2d:false;
(out13) false

(%i14) solve_rec(a[i]=x*a[i-1]/(6*i*(6*i+1)),a[i]);
(out14) a[i] = gamma(1/6)*%k[1]*6^(1-2*i)*x^i/(6*i!*gamma(i+7/6))

(%i15) solve_rec(a[i]=x*a[i-6]/(i*(i+1)),a[i]);
(out15) false

Should the answer in the second case not be false, I have the recurrence relation which skips over 5 terms so a[i] = f(a[i-6]) but why do I have to rewrite it so a[i]=f(a[i-1])?

Rich

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