OFFSET
1,3
COMMENTS
Conjecture: number 1 is the only number n such that sigma(n)^(n - tau(n)) = sigma(n+1)^(n + 1 - tau(n+1)).
Conjecture: number 1 is the only number n such that sigma(n)^(n - tau(n)) = sigma(k)^(k - tau(k)) has solution for distinct numbers n and k.
LINKS
Jaroslav Krizek, Table of n, a(n) for n = 1..50
FORMULA
EXAMPLE
a(4) = sigma(4)^(4 - tau(4)) = 7^(4 - 3) = 7.
MATHEMATICA
Table[DivisorSigma[1, n]^[n - DivisorSigma[0, n]], {n, 50}]
PROG
(PARI) s=[]; for(n=1, 30, s=concat(s, sigma(n, 1)^(n-sigma(n, 0)))); s \\ Colin Barker, Jan 24 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Jan 23 2014
STATUS
approved