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Re: Hypergeom -- simplify versus evalf

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In article <dbf67327-673a-4ae4-b931-b6388e87925c@googlegroups.com>,
Peter Luschny <peter.luschny@gmail.com> wrote:

> a := (n,k) -> -(-1)^k*hypergeom([1-k,n/2+1/2,n/2],[1/2,1],1):
> 
> for n from 1 to 6 do seq(simplify(a(n,k)),k=1..n) od;
> for n from 1 to 6 do seq(round(evalf(a(n,k))),k=1..n) od;
> 
>                                1
>                               1, 2
>                             1, 1, 4
>                           1, 4, 16, 8
>                         1, 2, 41, 44, 16
>                      1, 6, 85, 146, 112, 32
> 
>                                1
>                               1, 2
>                             1, 5, 4
>                           1, 9, 16, 8
>                        1, 14, 41, 44, 16
>                     1, 20, 85, 146, 112, 32
> 
>                                ?

a := (n,k) -> -(-1)^k*hypergeom([1-k,n/2+1/2,n/2],[1/2,1],1):

for n from 1 to 6 do seq(simplify(a(n,k)),k=1..n) od;
for n from 1 to 6 do seq(round(evalf(a(n,k))),k=1..n) od;
                               1
                              1, 2
                            1, 5, 4
                          1, 9, 16, 8
                       1, 14, 41, 44, 16
                    1, 20, 85, 146, 112, 32
                               1
                              1, 2
                            1, 5, 4
                          1, 9, 16, 8
                       1, 14, 41, 44, 16
                    1, 20, 85, 146, 112, 32
version();
 User Interface: 1097895
         Kernel: 1097895
        Library: 1097895
                            1097895

-- 
G. A. Edgar                              http://www.math.ohio-state.edu/~edgar/

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Hypergeom -- simplify versus evalf Peter Luschny <peter.luschny@gmail.com> - 2017-01-10 05:51 -0800
  Re: Hypergeom -- simplify versus evalf "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2017-01-10 07:03 -0700

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