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Numbers n such that there exists a block-transitive point-imprimitive 3-design with parameters (k(k-1)/2+1, k, lambda) for some lambda.
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%I #3 Mar 30 2012 16:49:51

%S 27,29,39,83,139,167,263,370,510,615,1091,1399,1819,1931,2039,2491,

%T 2702,3419,3723,4232,4883,6299,7799

%N Numbers n such that there exists a block-transitive point-imprimitive 3-design with parameters (k(k-1)/2+1, k, lambda) for some lambda.

%D N. D. Tuan, A note on block-transitive point-imprimitive designs, Europ. J. Combin., 24 (2003), 113-119.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jan 19 2004