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a(1) = 8, a(n) = concatenation of the prime divisors, ordered descending by their size, of a(n - 1)
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%I #9 Apr 28 2015 15:02:48

%S 8,222,3732,311322,89531132,2238278322,123077433732,124155175111322,

%T 26516317994713012,1712365225813871322,28539420430231188732,

%U 2378285035852599061322,14894019245254379840272

%N a(1) = 8, a(n) = concatenation of the prime divisors, ordered descending by their size, of a(n - 1)

%H Markus Tervooren, <a href="http://factordb.com/search.php?se=20&amp;aq=8&amp;action=all&amp;fr=&amp;to=">Factorizations of inverse home prime base 10 8</a>

%e a(1) = 8 = 2 . 2 . 2, so a(2) = 222. 222 = 37 . 3 . 2, so a(3) = 3732.

%t nxt[n_]:=FromDigits[Flatten[IntegerDigits/@Reverse[Table[#[[1]],{#[[2]]}]&/@ FactorInteger[n]]]]; NestList[nxt,8,15] (* _Harvey P. Dale_, Feb 04 2015 *)

%Y Cf. A037274.

%K nonn,base

%O 1,1

%A _Ivan Panchenko_, Jun 30 2010