OFFSET
1,1
EXAMPLE
2900 is factored as 2^2 * 5^2 * 29^1. Since 2^2 < 5 and 5^2 < 29, then 2900 is in the sequence. On the other hand, 60 is factored as 2^2 * 3^1 * 5^1. Even though 3^1 < 5, 2^2 is not < 3. So 60 is not in the sequence.
MATHEMATICA
okQ[n_] := With[{f = FactorInteger[n]}, If[Length[f] == 1, Return[False]]; For[i = 1, i < Length[f], i++, If[f[[i, 1]]^f[[i, 2]] >= f[[i+1, 1]], Return[False]]]; True]; Select[Range[200], okQ] (* Jean-François Alcover, May 16 2017, adapted from PARI *)
PROG
(PARI) isok(n) = {my(f = factor(n)); if (#f~ == 1, return (0)); for (i=1, #f~ - 1, if (f[i, 1]^f[i, 2] >= f[i+1, 1], return (0)); ); return (1); } \\ Michel Marcus, Jan 19 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Sep 04 2008
EXTENSIONS
Extended by Ray Chandler, Nov 06 2008
STATUS
approved