%I A084239
%S A084239 1,2,3,4,6,8,13,20,32,52,90,152,268,472,845,1520,2766,5044,9277,17112,
%T A084239 31724,59008,110162,206260,387282,729096,1375654,2601640,4929378,
%U A084239 9358944,17797100,33904324,64678112,123580884,236413054,452902072
%N A084239 Rank of K-groups of Furstenberg transformation group C*-algebras of n-torus.
%D A084239 K. Reihani, C*-algebras from Anzai flows and their K-groups, preprint, 
               2003.
%F A084239 a(n) = constant term of prod(i=1, n, 1+t^(i-.5(n+1))) for odd n and a(n) 
               = constant term of (1+t^(.5))*prod(i=1, n, 1+t^(i-.5(n+1))) for even 
               n.
%F A084239 Sums of antidiagonals of A067059, i.e. a(n) is sum over k of number of 
               partitions of [k(n-k)/2] into up to k parts each no more than n-k. 
               Close to 2^(n+1)*sqrt(6/(pi*n^3)) and seems to be even closer to 
               something like 2^(n+1)*sqrt(6/(pi*(n^3+0.9*n^2-0.1825*n+1.5))). - 
               Henry Bottomley (se16(AT)btinternet.com), Jul 20 2003
%Y A084239 Cf. A000980.
%Y A084239 Sequence in context: A000029 A155051 A018137 this_sequence A049708 A000031 
               A111023
%Y A084239 Adjacent sequences: A084236 A084237 A084238 this_sequence A084240 A084241 
               A084242
%K A084239 nonn
%O A084239 0,2
%A A084239 Kamran Reihani (reyhan_k(AT)modares.ac.ir), Jun 21 2003
%E A084239 More terms from Henry Bottomley (se16(AT)btinternet.com), Jul 20 2003