%I A116534
%S A116534 1,2,6,13,7,4,37,19,10,955,478,477739,238870,238869619435,
%T A116534 119434809718,119434809717559717404859,59717404858779858702430,
%U A116534 5971740485877985870242979858702429389929351215
%N A116534 Start with 1 and 2; if number is even join with last number and divide 
               by 2, if it is odd add 1 and divide by 2.
%C A116534 Rapidly growing: for n=10,20,30,40,50 the terms have 3, 138, 914, 3649, 
               248128 digits respectively (cf. A131059). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), 
               Jun 12 2007
%F A116534 1,2 = 12 / 2 = 6, is even so = 26 /2 = 13 is odd so sum 1 and / by 2 
               = 7, +1 /2 = 4, is even so I join with 7 = 74 /2 = 37 +1 /2 = 19, 
               etc
%F A116534 a(n)=ceiling(a(n-1)/2)+(1+(-1)^a(n-1))*10^floor(log_10(a(n-1))+1)*a(n-2)/
               4, n>=2. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 
               12 2007
%Y A116534 Cf. A131059.
%Y A116534 Sequence in context: A007668 A089415 A161324 this_sequence A130533 A082722 
               A030416
%Y A116534 Adjacent sequences: A116531 A116532 A116533 this_sequence A116535 A116536 
               A116537
%K A116534 nonn
%O A116534 0,2
%A A116534 Rodolfo Marcelo Kurchan (rkurchan(AT)yahoo.com), Mar 26 2006
%E A116534 More terms from Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 
               12 2007