A261717 Arrange the 26 sporadic simple groups in increasing order; a(n) = number of sporadic simple groups of which the n-th largest sporadic simple group is a subquotient.

19, 12, 2, 16, 4, 10, 7, 1, 5, 7, 3, 1, 3, 1, 3, 4, 5, 3, 1, 3, 4, 2, 1, 2, 2, 1

Offset

1,1

Comments

The sum of all elements of the sequence is the same as that of A263447.

References

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985. Page 238.

Links

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

Wikipedia, Sporadic group

Example

The sporadic group Fi_23 is a subquotient of the sporadic groups Fi_23 (itself), Fi_24, the Baby Monster and the Monster, so a(21) = 4.

Crossrefs

Cf. A001228, A263447.

Sequence in context: A083156 A356570 A040344 * A323832 A306384 A196188

Adjacent sequences: A261714 A261715 A261716 * A261718 A261719 A261720

Keyword

nonn,fini,full

Author

Sven Simon, Charles R Greathouse IV, Franklin T. Adams-Watters, Oct 24 2015

Status

approved