Question related to sequence A066452

[Diana Mecum]

Folks,

I am trying to add extension terms for sequence A066452. I have a question.

This is the internal text describing the sequence:

%I A066452
%S A066452
1,1,2,1,4,1,4,4,3,2,8,3,7,7,9,2,8,5,10,10,8,6,19,6,12,9,9,8,22,9,12,
%T A066452 12,15,10,31,9,11,14,24,13,23,9,24,17,16,10,35,15,23
%N A066452 Anti-phi(n).
%H A066452 Jon Perry, <a href="
http://www.users.globalnet.co.uk/~perry/maths/antidivisorother2.htm">
               Anti-phi function</a>
%F A066452 anti-phi(n) = number of integers <= n that are coprime to the
anti-divisors of n
%e A066452 10 has the anti-divisors 3,4,7. Therefore numbers coprime to
3,4,7 and less than
               10 are are 1,2,5, therefore anti-phi(10)=3.
%Y A066452 Cf. A058838, A066241.
%Y A066452 Sequence in context: A024994 A051953 A079277 this_sequence
A007104 A102627 A088296
%Y A066452 Adjacent sequences: A066449 A066450 A066451 this_sequence A066453
A066454 A066455
%K A066452 nonn,more,easy
%O A066452 2,3
%A A066452 Jon Perry (perry(AT)globalnet.co.uk), Dec 29 2001

I found a definition for "anti-divisor" as follows:

"Non-divisor: a number k which does not divide a given number x."
"Anti-divisor: a non-divisor k of x with the property that k is an odd
divisor of 2x-1 or 2x+1, or an even divisor of 2x."

I see how Jon gets 3, 4 and 7 as anti-divisors of 10. However, 2 is not
coprime to the anti-divisors of 10. He has 1, 2, and 5 as on the anti-phi
list.

The sequence which I derived for this sequence is:

1, 1, 2, 1, 4, 1, 4, 4, 3, 2, 2, 5, 3, 5, 4, 9, 2, 4, 5, 6, 6, 6, 6, 10, 5,
8, 6, 5, 8, 8, 9, 12,
 7, 10, 7, 12, 9, 8, 9, 13, 13, 9, 9, 14, 10

Can someone tell me if I am misunderstanding the definition of the sequence,
or if I have found an error?

Thanks,

Diana M.

-- 
"God made the integers, all else is the work of man."
L. Kronecker, Jahresber. DMV 2, S. 19.
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