Mycielski, Jan Sur les représentations des nombres naturels par des puissances à base et exposant naturels. (French) Zbl 0045.01902 Colloq. Math. 2, 254-260 (1951). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 2 Documents Keywords:number theory PDFBibTeX XMLCite \textit{J. Mycielski}, Colloq. Math. 2, 254--260 (1951; Zbl 0045.01902) Full Text: DOI EuDML Online Encyclopedia of Integer Sequences: a(1)=1; for n>1, a(n) gives number of ways to write n as n = x^y, 2 <= x, 1 <= y. a(n) = product of perfect divisors of n. a(n) = Sum_{k=2..n} floor(log(n)/log(k)), n >= 1. a(1)=1; for n>1, a(n) gives the sum of the exponents in the different ways to write n as n = x^y, 2 <= x, 1 <= y.