Search: id:A097463
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%I A097463
%S A097463 0,1,2,11,101,21,4,12,10001,2001,111,22,301,1101,100000001,200001,
%T A097463 1000000001,211,11001,1011,32,110001,1000000000001,30001,51,202,1100001,
%U A097463 1000000000000001,23,4001,1201,101001,3000001,110000001,200000000001
%N A097463 Let P(i) = i-th prime. To get a(n), factor P(n)-1 as a product of primes, 
               then concatenate the exponents.
%C A097463 If P(n)-1 = P(1)^a * P(2)^b *....* P(j)^k then a(n) = ab...k.
%e A097463 3-1=2^1, so a(2)=1. 5-1=2^2, so a(3)=2. 7-1=2^1*3^1, so a(4)=11.
%e A097463 23=(2^1)*(11^1)+1. So a(9) = 10001.
%e A097463 37 = 36 + 1 = 2^2*3^2 + 1, so 37 becomes 22 (a=2,b=2)
%o A097463 (PARI) {forprime(p=2,150,f=factor(p-1);j=1;q=2;s="0";while(j<=matsize(f)[1], 
               if(q==f[j,1],s=concat(s,f[j,2]);j++,s=concat(s,0));q=nextprime(q+1));
               print1(eval(s),","))}
%Y A097463 Cf. A037916.
%Y A097463 Sequence in context: A001271 A038371 A003021 this_sequence A083394 A087988 
               A072382
%Y A097463 Adjacent sequences: A097460 A097461 A097462 this_sequence A097464 A097465 
               A097466
%K A097463 nonn,base
%O A097463 1,3
%A A097463 Pierre CAMI (pierrecami(AT)tele2.fr), Aug 23 2004
%E A097463 More terms and PARI code from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), 
               Apr 25 2005
%E A097463 a(9) corrected by Dennis (tuesdayist(AT)juno.com), Mar 30 2006

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