%I
%S 2,21,3171,31711511,131171431471711,16333180310678671,
%T 11117231176912155222911,1291718606666545569524831,
%U 71131144716241883115716012594411,11110111723135559111044984144653124782571
%N Starting with 2, successively concatenate the numbers in the prime factorization of a(n1), including both the prime and its exponent.
%C Unlike similar sequences, this sequence does not terminate when a prime is reached; the next term after a prime p is 10*p+1.
%e The factorization of a(2) = 21 is 3^1 * 7^1, so we concatenate 3,1,7,1 to get a(3) = 3171.
%t NestList[FromDigits[Flatten[IntegerDigits/@FactorInteger[#]]]&,2,10] (* _Harvey P. Dale_, Oct 16 2014 *)
%o (PARI) catnum(n,m,b=10)=local(p=1);while(p<=m,p*=b);n*p+m
%o anext(n,b=10)=local(fm,r);fm=factor(n);for(k=1,matsize(fm)[1],r=catnum(r,catnum(fm[k,1],fm[k,2],b),b));r
%Y Cf. A195264, A037274.
%K nonn,base
%O 1,1
%A _Franklin T. AdamsWatters_, Sep 14 2011
