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A174848 Squarefree kernels of orders of sporadic simple groups. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..26.

Eric Weisstein's World of Mathematics, Sporadic Group

EXAMPLE

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.

CROSSREFS

Cf. A174670.

Sequence in context: A265195 A190920 A145274 * A300009 A244264 A117345

Adjacent sequences:  A174845 A174846 A174847 * A174849 A174850 A174851

KEYWORD

fini,full,nonn

AUTHOR

Reinhard Zumkeller, Apr 02 2010

STATUS

approved

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Last modified November 19 22:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)