%I A114099
%S A114099 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,
%T A114099 5,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,
%U A114099 0,0,22,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,42,0,0,0,0,0,0,0,0,56,0,0,0
%N A114099 Number of partitions of n into parts with digital root = 9.
%C A114099 a(n) = A114102(n) - A116371(n) - A116372(n) - A116373(n) - A116374(n) 
               - A116375(n) - A116376(n) - A116377(n) - A116378(n).
%H A114099 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DigitalRoot.html">Digital Root</a>
%F A114099 a(n) = A000041(floor(n/9))*0^(n mod 9).
%e A114099 a(27) = #{27, 18+9, 9+9+9} = 3.
%Y A114099 Cf. A010888.
%Y A114099 A147706. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Nov 11 2008]
%Y A114099 Sequence in context: A004530 A084863 A073346 this_sequence A028613 A024362 
               A104488
%Y A114099 Adjacent sequences: A114096 A114097 A114098 this_sequence A114100 A114101 
               A114102
%K A114099 nonn,base
%O A114099 1,18
%A A114099 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 12 2006