accident?wat accident?Yasutoshi.
Don McDonald
parabola at paradise.net.nz
Mon Jun 16 15:07:45 CEST 2003
In message <06c801c333de$f96359e0$dc8239d2 at computer> you write:
Yasutoshi:
> I wonder why my sequence looks like A050354.
(See sci.math, 'nature vs. nurture', June 2003.
'Looks like' is a fuzzy logic non-commutative
non-transitive relation.?)
Are you sure your SEQ is correct?
ARE you sure the other SEQ is correct?
Do you think they should be identical?
For what reason?
> Is there any explanation about this phenomenon?
They are different because they are different.
What other explanation do you want?.
don.mcdonald.
17.06.03.
.eisintegsq.Seqfan.YasutoshiK.(6,6)
>
> Yasutoshi
>
> --------------------
>
> ID Number: A051707
> Sequence: 1,1,1,3,1,5,1,8,3,5,1,21,1,5,5,23,1,21,1,21
> Name: Number of factorizations of (n,n) into pairs (k,l).
> Comments: Pairs (k,l) must satisfy 0<k, 0<l; if k=1 then l=1. Definition of
> "*": (a,b)*(x,y)=(a*x,b*y); unit is (1,1).
> a(n) depends only on prime signature of n
> Example: (6,6)=(2,1)*(3,6)=(2,6)*(3,1)=(2,2)*(3,3)=(2,3)*(3*2), so
E A B C D
> a(6)=5.See also: Cf. A025487, A050354.
a(6) = A B C D = 4.? ok.. E makes 5.
(smaller,greater) * (6/smaller, 6/greater) =
11, 12, 13 , 16, 22, 23, 26, 33, 36, 66.
and their pairs.
It appears Y. does not intend to count ordered pairs.
what about
12 = (1,2)*(6,3)?.
> Keywords: nonn,nice,easy,more
> Offset: 1
> Author(s): Yasutoshi Kohmoto (kohmoto(AT)z2.zzz.or.jp)
>
>
>
> ID Number: A050354
> Sequence: 1,1,1,3,1,5,1,9,3,5,1,21,1,5,5,27,1,21,1,21,5,5,1,81,3,5,9,
. *** different at '9'.
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