%I A118302
%S A118302 0,0,1,1,1,2,3,3,4,5,6,8,9,11,14,16,19,23,27,32,38,45,52,61,71,82,96,
%T A118302 111,128,148,170,195,224,256,292,334,380,432,491,556,630,713,805,908,
%U A118302 1024,1152,1295,1455,1632,1829,2048,2291,2560,2859,3189,3554,3959,4404
%N A118302 Number of partitions of n into distinct parts with largest part not congruent 
               to n modulo 2.
%C A118302 a(2*n) = A026837(2*n), a(2*n+1) = A026838(2*n+1);
%C A118302 a(n) = A000009(n) - A118301(n),
%C A118302 a(A118300(n)) = A118303(n)/2 = A000009(A118300(n))/2.
%e A118302 a(11) = #{10+1,8+3,8+2+1,6+5,6+4+1,6+3+2} = 6;
%e A118302 a(12) = #{11+1,9+3,9+2+1,7+5,7+4+1,7+3+2,5+4+3,5+4+2+1} = 8.
%Y A118302 Cf. A000701.
%Y A118302 Sequence in context: A017864 A029035 A153178 this_sequence A017853 A125616 
               A141472
%Y A118302 Adjacent sequences: A118299 A118300 A118301 this_sequence A118303 A118304 
               A118305
%K A118302 nonn
%O A118302 1,6
%A A118302 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 22 2006