A134888 - OEIS

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A134888

E_8 numbers: a(n)=2^(2*n) * 3^(3*n) * 5^n * 839^n. (Constants are prime numbers).

1, 453060, 205263363600, 92996619512616000, 42133048436385804960000 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`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.`
	LINKS	`The American Institute of Mathematics, Mathematicians Maps E_8.`
	FORMULA	`a(n) = 2^(2n) 3^(3n) 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.`
	EXAMPLE	`a(1)=453060 because 2^(21)=4, 3^(31)=27, 5^1=5, 839^1=839 and we can write 4275839=453060.` `a(2)=205263363600 because 2^(22)=16, 3^(32)=729, 5^2=25, 839^2=703921 and we can write 1672925703921=205263363600.` `a(1)^2=a(2): 453060*453060=205263363600.`
	CROSSREFS	`Sequence in context: A202569 A203785 A134960 * A205024 A202600 A114671` `Adjacent sequences: A134885 A134886 A134887 * A134889 A134890 A134891`
	KEYWORD	`nonn`
	AUTHOR	`Omar E. Pol (info(AT)polprimos.com), Nov 22 2007, Dec 02 2007`

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.