a := n -> doublefactorial(2*n-1)-2^n*pochhammer(1/2,n):
seq(a(n), n=0..99);
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
a(100) 6666308670072953744411215006735034163324489389674388736363184954745922258576896518414625915283128424390474317708176893511841954015267176587405666801912441638268530971962511539459228515625-1267650600228229401496703205376*GAMMA(201/2)/sqrt(Pi)
Can somebody explain this sudden jump?
Peter
simplify(%);0
Can somebody explain this sudden jump?No, but I believe the answer from Maple 2015 because:
simplify(%);
a := n -> doublefactorial(2*n-1)-2^n*pochhammer(1/2,n):
seq(a(n), n=0..99);
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
a(100) 6666308670072953744411215006735034163324489389674388736363184954745922258576896518414625915283128424390474317708176893511841954015267176587405666801912441638268530971962511539459228515625-1267650600228229401496703205376*GAMMA(201/2)/sqrt(Pi)
Can somebody explain this sudden jump?
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