login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) = n+n in carryless digital root arithmetic in base 10.
0

%I #6 Mar 30 2012 17:38:11

%S 0,2,4,6,8,1,3,5,7,9,20,22,24,26,28,21,23,25,27,29,40,42,44,46,48,41,

%T 43,45,47,49,60,62,64,66,68,61,63,65,67,69,80,82,84,86,88,81,83,85,87,

%U 89,10,12,14,16,18,11,13,15,17,19,30,32,34,36,38,31,33,35,37,39,50,52,54,56,58

%N a(n) = n+n in carryless digital root arithmetic in base 10.

%C Addition and multiplication are the same as in school, that is, done in base 10, except that there are no carries and when individual digits are added or multiplied the result is replaced by its digital root (A010888).

%H <a href="/index/Ca#CARRYLESS">Index entries for sequences related to carryless arithmetic</a>

%K nonn,base

%O 0,2

%A _David Applegate_, _Marc LeBrun_ and _N. J. A. Sloane_, Jul 11 2010