2*(A056855(n))/(phi(n)*n)
Leroy Quet
qq-quet at mindspring.com
Fri Nov 12 22:29:48 CET 2004
In sequence A056855 we have:
Product [k] *sum[1/k], where both the product and the sum are over those
positive integers k, where k <= n and GCD(k,n) = 1.
1,1,3,4,50,6,1764,176,4968,300,...
Now, if we take the sequence
2 * (A056855(n)) /(phi(n)*n)
we have
2, 1, 1, 1, 5, 1, 84, 11, ...
(And this sequence is not in the EIS, but I am submitting the few terms
above.)
(phi() is the Euler phi function.)
I asked this question years ago, but is
2 * (A056855(n)) /(phi(n)*n)
always an integer?
I conjecture it is.
Regarding EIS etiquette:
And what about sequences only conjectured to be completely of integers?
Should they be submitted to the EIS with a note that there might be
nonintegers in the sequence at some point?
thanks,
Leroy Quet
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