read AperyAppx:

print(`To get the Apery magical accelerating polynomial for Zeta(2)`):
print(`type: AperyB(n^2,n,h,2); `):
print(` and you would get `):
print(AperyB(n^2,n,h,2)):

print(`To get the Apery magical accelerating polynomial for Zeta(3) `):
print(`type: AperyB(n^3,n,h,3); `):
print(` and you would get `):
print(AperyB(n^3,n,h,3)):

print(`To get the best rational function correction to the `):
print(`partial sum of the defining series for Catalan's constant`):
print(` with degree of denomiator equalling 6, type: `):
print(`RatAppx(-(2*n-1)^2,-1,n,6); `):
print(`You would get: `):
print(RatAppx(-(2*n-1)^2,-1,n,6)):

print(`To get the best rational function correction to the `):
print(`partial sum of the defining series for Zeta(5)`):
print(` with degree of denomiator equalling 6, type: `):
print(`RatAppx(n^5,1,n,6); `):
print(`You would get: `):
print(RatAppx(n^5,1,n,6)):


print(`To see if there any hope for an Apery-style irrationality proof`):
print(`for Zeta(2) type:`):
print(`DeltaSeq(n^2,1,n,20);`):
print(`and you would get:`):
print(DeltaSeq1(n^2,1,n,20,Zeta(2))):
print(``):
print(`Since they are all positive, there is hope!`):

print(``):
print(`To see if there any hope for an Apery-style irrationality proof`):
print(`for Zeta(3) type:`):
print(`DeltaSeq1(n^3,1,n,14,Zeta(3));`):
print(`and you would get:`):
print(DeltaSeq1(n^3,1,n,14,Zeta(3))):
print(`Since they are all positive, there is hope!`):

print(``):
print(`To see if there any hope for an Apery-style irrationality proof`):
print(`for Zeta(5) type:`):
print(`DeltaSeq1(n^5,1,n,20,Zeta(5));`):
print(`and you would get:`):
print(DeltaSeq1(n^5,1,n,20,Zeta(5))):
print(`Since they are negative, there is NO hope!`):


quit