moonshine?

[y.kohmoto]

    Hello, seqfans

    Let's prepare an sequence c(n) whose terms are 0 or 1 as a choice
sequence.
    And consider the product of it and the following sequence.
         e(n)=ceiling(1/2*e(n-1)) .
    product : ce(n)=c(n)*e(n)

    A sequence of the exponents of prime factors of pair sum of the first
example of amicable pair coprime to 30 is as follows :  sq1
    It means that if the AP coprime 30 is a pair a,b  then  a+b =
2^64*3^29*5^11*7^8*11^3*13^2*17*19*23^2*29*31*37*....

         sq1 64, 29, 11, 8, 3, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1,
0, 0, 1, ....
         sq2 64, 32, 16, 8, 4, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1,
0, 0, 1,  ....

    It is approximately represented as ce(n)=c(n)*e(n) that
c(n)=1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,1.... and e(1)=64 :  sq2.
    Indeed, I used this  law  for searching APs coprime 30.

    I found the character in a different field.
    It is the factorization of order of the monster :
               46, 20,  9,  6, 2, 3, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1
               46, 23, 12, 6, 3, 2, 1, 1, 1, 1, 1....
    Is it another moonshine ?

    Yasutoshi
    http://amicable.adsl.dk/aliquot/apco30.txt