Search: id:A161995 Results 1-1 of 1 results found. %I A161995 %S A161995 0,1,10,2,4,8,7,5,100,11,13,17,16,14,1000,20,22,26,25,23,10000,101,31, %T A161995 35,34,32,100000,110,40,44,43,41,1000000,200,103,53,52,50,10000000,1001, %U A161995 112,62,61,104,100000000,1010,121,71,70,113,1000000000,1100,130,80,106 %N A161995 a(n) represents the minimum number k, not already present in the sequence, whose digits sum is equal to the digital root of Sum{j=0..n-1}{a(j)}, with a(0)=0 and a(1)=1. %C A161995 From a(3) onward the digital root is periodic with period length equal to six: 1,2,4,8,7,5. %e A161995 a(3)=10 because a(0)+a(1)=1 and 10 is the minimum number greater than 1 whose digit sum is equal to 1. %Y A161995 A010888 %Y A161995 Sequence in context: A010175 A160136 A049296 this_sequence A069036 A155817 A037922 %Y A161995 Adjacent sequences: A161992 A161993 A161994 this_sequence A161996 A161997 A161998 %K A161995 easy,nonn,uned %O A161995 0,3 %A A161995 Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jun 24 2009 Search completed in 0.001 seconds