A174848 Squarefree kernels of orders of sporadic simple groups.

330, 330, 43890, 2310, 210, 53130, 2310, 9690, 53130, 2310, 3570, 79170, 30030, 1360590, 53130, 53130, 30030, 43890, 177521190, 1607970, 11741730, 690690, 75992317170, 340510170, 325046311590, 1618964990108856390

Offset: 1

Author

Reinhard Zumkeller, Apr 02 2010

Keywords

• fini
• full
• nonn

Comments

a(n) = A007947(A001228(n)).

Examples

			a(1) = 2*3*5*11;
a(2) = 2*3*5*11;
a(3) = 2*3*5*7*11*19;
a(4) = 2*3*5*7*11 = 11#;
a(5) = 2*3*5*7 = 7#;
a(6) = 2*3*5*7*11*23;
a(7) = 2*3*5*7*11 = 11#;
a(8) = 2*3*5*17*19;
a(9) = 2*3*5*7*11*23;
a(10) = 2*3*5*7*11 = 11#;
a(11) = 2*3*5*7*17;
a(12) = 2*3*5*7*13*29;
a(13) = 2*3*5*7*11*13 = 13#;
a(14) = 2*3*5*7*11*19*31;
a(15) = 2*3*5*7*11*23;
a(16) = 2*3*5*7*11*23;
a(17) = 2*3*5*7*11*13 = 13#;
a(18) = 2*3*5*7*11*19;
a(19) = 2*3*5*7*11*31*37*67;
a(20) = 2*3*5*7*13*19*31;
a(21) = 2*3*5*7*11*13*17*23;
a(22) = 2*3*5*7*11*13*23;
a(23) = 2*3*5*7*11*23*29*31*37*43;
a(24) = 2*3*5*7*11*13*17*23*29;
a(25) = 2*3*5*7*11*13*17*19*23*31*47;
a(26) = PROD(A002267(k): 1<=k<=15) = 2*3*5*7*11*13*17*19*23*29*31*41*47*59*71.
		

Links

• Eric Weisstein's World of Mathematics, Sporadic Group

Crossrefs

Cf. A174670.