A008696 - OEIS

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A008696

Theta series of Niemeier lattice of type D_6^4.

1, 240, 190800, 16833600, 397680720, 4630540320, 34416204480, 187485916800, 814900050000, 2975524213680, 9486523478880, 27053074226880, 70486147972800, 169930956669600, 384163682797440 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	REFERENCES	`J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 407.`
	FORMULA	`This series is the q-expansion of 13/18 E_4(z)^3 + 5/18 E_6(z)^2. Cf. A004009, A013973. - Daniel D. Briggs, Nov 25 2011`
	CROSSREFS	`Equal to the theta series for A_9^2D_6, Cf. A047806.` `Sequence in context: A001943 A052263 A035281 A047806 A184888 A158792` `Adjacent sequences: A008693 A008694 A008695 * A008697 A008698 A008699`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 14 10:43 EST 2012. Contains 205614 sequences.