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A174848 Squarefree kernels of orders of sporadic simple groups.

%I A174848 #3 Feb 16 2025 08:33:12
%S A174848 330,330,43890,2310,210,53130,2310,9690,53130,2310,3570,79170,30030,
%T A174848 1360590,53130,53130,30030,43890,177521190,1607970,11741730,690690,
%U A174848 75992317170,340510170,325046311590,1618964990108856390
%N A174848 Squarefree kernels of orders of sporadic simple groups.
%C A174848 a(n) = A007947(A001228(n)).
%H A174848 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SporadicGroup.html">Sporadic Group</a>
%e A174848 a(1) = 2*3*5*11;
%e A174848 a(2) = 2*3*5*11;
%e A174848 a(3) = 2*3*5*7*11*19;
%e A174848 a(4) = 2*3*5*7*11 = 11#;
%e A174848 a(5) = 2*3*5*7 = 7#;
%e A174848 a(6) = 2*3*5*7*11*23;
%e A174848 a(7) = 2*3*5*7*11 = 11#;
%e A174848 a(8) = 2*3*5*17*19;
%e A174848 a(9) = 2*3*5*7*11*23;
%e A174848 a(10) = 2*3*5*7*11 = 11#;
%e A174848 a(11) = 2*3*5*7*17;
%e A174848 a(12) = 2*3*5*7*13*29;
%e A174848 a(13) = 2*3*5*7*11*13 = 13#;
%e A174848 a(14) = 2*3*5*7*11*19*31;
%e A174848 a(15) = 2*3*5*7*11*23;
%e A174848 a(16) = 2*3*5*7*11*23;
%e A174848 a(17) = 2*3*5*7*11*13 = 13#;
%e A174848 a(18) = 2*3*5*7*11*19;
%e A174848 a(19) = 2*3*5*7*11*31*37*67;
%e A174848 a(20) = 2*3*5*7*13*19*31;
%e A174848 a(21) = 2*3*5*7*11*13*17*23;
%e A174848 a(22) = 2*3*5*7*11*13*23;
%e A174848 a(23) = 2*3*5*7*11*23*29*31*37*43;
%e A174848 a(24) = 2*3*5*7*11*13*17*23*29;
%e A174848 a(25) = 2*3*5*7*11*13*17*19*23*31*47;
%e A174848 a(26) = PROD(A002267(k): 1<=k<=15) = 2*3*5*7*11*13*17*19*23*29*31*41*47*59*71.
%Y A174848 Cf. A174670.
%K A174848 fini,full,nonn
%O A174848 1,1
%A A174848 _Reinhard Zumkeller_, Apr 02 2010