Search: id:A084239 Results 1-1 of 1 results found. %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 Search completed in 0.001 seconds