A062775 / editing needed
Gottfried Helms
helms at uni-kassel.de
Sat Dec 20 10:49:01 CET 2003
Hi Jack, Frank,
thanks for the input. I didn't know that, please pardon my fault.
Jack Brennen schrieb:
>
> Actually, the common definition of a multiplicative function
> requires that we already have gcd(i,j)=1, and so the text in the OEIS
> was correct to say multiplicative. (The 'partially' isn't required.)
>
> Note that a function which is multiplicative without the requirement
> of gcd()=1 is called Completely Multiplicative. See Mathworld:
>
So would be that a better proposal:
Proposals:
a) Field: Name. Replace "non-congruent" by "all"
b) Field: Comment. It is more precise to say:
"a(n) is multiplicative
and for square-free integer i: a(i) = i^2"
here it is still more precise to speak for all square-free-
integers instead of primes only.
c) Add my formula for direct computation of A(i) from
its index i. (see previous post; sorry, don't have Maple
of mathematica-syntax available)
Also I still don't have a compact notation of the formula.
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