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A178176 a(n) is the number of central quotients of simple compact Lie groups of dimension n 1
0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

a(3) = 2 since the 3-dimensional SU(2) has two central quotients: SU(2) and SU(2)/2 = SO(3).

The unusually large value a(78) = 6 is due to the simple Lie groups Spin(13), Sp(6), and E_6 each of dimension 78 and each having two central quotients.

CROSSREFS

Sequence in context: A171919 A000089 A051907 * A093569 A073091 A125250

Adjacent sequences:  A178173 A178174 A178175 * A178177 A178178 A178179

KEYWORD

nonn

AUTHOR

Andrew Rupinski, Dec 18 2010

STATUS

approved

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Last modified September 20 12:42 EDT 2018. Contains 315239 sequences. (Running on oeis4.)