0,2

The result of the exceptional Lie group E_8 calculation is a matrix with 453060 rows and columns. Size of the matrix.. = a(1) = 453060. Number of entries... = a(2) = 205263363600.

The American Institute of Mathematics, Mathematicians Maps E_8.

a(n) = 2^(2*n) * 3^(3*n) * 5^n * 839^n.

O.g.f.: 1/(1-453060*x). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 24 2007

a(n)=453060^n.

a(1)=453060 because 2^(2*1)=4, 3^(3*1)=27, 5^1=5, 839^1=839 and we can write 4*27*5*839=453060.

a(2)=205263363600 because 2^(2*2)=16, 3^(3*2)=729, 5^2=25, 839^2=703921 and we can write 16*729*25*703921=205263363600.

a(1)^2=a(2): 453060*453060=205263363600.

Sequence in context: A117151 A163612 A134960 this_sequence A114671 A051594 A096889

Adjacent sequences: A134885 A134886 A134887 this_sequence A134889 A134890 A134891

nonn

Omar E. Pol (info(AT)polprimos.com), Nov 22 2007, Dec 02 2007