OFFSET
0,3
COMMENTS
(Conjecture)
Let |b| = 2^p * 3^q * 5^r * ... .
And f(0) = 24, f(b) = 2^(max(0, min(3, p - 1))) * 3^(max(0, min(1, q - 1))) for |b|>0. (See A305762)
Coefficients of (q*(j(q)+b))^(1/f(b)) are integers.
Especially, coefficients of (q*(j(q)+144*k))^(1/24) are integers.
In case of b = -744, |b| = 2^3 * 3^1 * 31 and f(b) = 4. So coefficients of (q*(j(q)-744))^(1/4) are integers. (See A304020)
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..378
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jun 10 2018
STATUS
approved