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A196520 Smallest Friedman number of order n.

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%I A196520 #11 Aug 13 2020 14:02:28
%S A196520 25,279936,31381059609,1125899906842624,1152921504606846976,
%T A196520 4722366482869645213696,42391158275216203514294433201,
%U A196520 324518553658426726783156020576256
%N A196520 Smallest Friedman number of order n.
%C A196520 More terms from a=9 to a=12 are 22528399544939174411840147874772641, 147808829414345923316083210206383297601, 1427247692705959881058285969449495136382746624 and 91343852333181432387730302044767688728495783936.
%H A196520 Erich Friedman, <a href="https://erich-friedman.github.io/mathmagic/0510.html">Problem of the Month May 2010</a>
%F A196520 All numbers of this kind are perfect powers.
%e A196520 Since 25 is the smallest Friedman number, it is the smallest Friedman number of order 1.
%e A196520 279936 = 6^7 = (9 - 3)^(9 - 2), together using the digits of the number itself. Hence it is the smallest Friedman number of order 2.
%e A196520 31381059609 = 9^11 = 9^(5+6) = 3^(30-8+0), together using the digits of the number itself. Hence it is the smallest Friedman number of order 3.
%Y A196520 Cf. A036057
%K A196520 nonn,base
%O A196520 1,1
%A A196520 _Kausthub Gudipati_, Oct 03 2011