[seqfan] A175388(?)

zak seidov zakseidov at yahoo.com
Sun Apr 25 05:43:36 CEST 2010


Not yet submitted -
pending for your comments/critics/praise;)

Thanks, Zak

%I A175388
%S A175388 1,2,11,23,19,7,29,16,5,8,9,3,36,6,88,269,15999
%N A175388 a(n) = smallest integer with exactly n iterations "summing  of digits squared" ending with 1 or 4. 
%C A175388 Sequence is infinite: for any n, a(n) <= R_n = A002275(n).
%C A175388 Actually, a(17) = 46*10^198 - 1, 45 concatenated (or concatenating?) with 197 nines. 
%e A175388 a(0)=1 because 1 -> 1 (0 iterations)
%e A175388 a(1)=2 because 2 -> 4 (1 iteration)
%e A175388 a(2)=11 because 11 -> 2 -> 4 (2 iterations)
%e A175388 a(3)=23 because 23 -> 13 -> 10 -> 1 (3 iterations)
%e A175388 a(4)=19 because 19 -> 82 -> 20 -> 4 (4 iterations). 
%Y A175388 Cf. A002275, A176709. 
%K A175388 nonn
%O A175388 0,2
%A A175388 Zak Seidov (zakseidov(AT)yahoo.com), Apr 24 2010


      




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