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A047805 Theta series of Niemeier lattice of type E_6^4. 1
1, 288, 189648, 16845696, 397610064, 4630772160, 34415914176, 187485113088, 814904105040, 2975518758816, 9486517914720, 27053099888256, 70486130167488, 169930928938176, 384163702086528 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

This series is the q-expansion of 3/4 E_4(z)^3 + 1/4 E_6(z)^2. Cf. A004009, A013973.

CROSSREFS

Equal to theta series of A_11 D_7 E_6, cf. A008695

Sequence in context: A037946 A159299 A008695 * A173150 A107739 A188367

Adjacent sequences:  A047802 A047803 A047804 * A047806 A047807 A047808

KEYWORD

nonn,easy,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms and formula in terms of Eisenstein series from Daniel D. Briggs (briggs(AT)math.umass.edu), Nov 25 2011

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Last modified February 17 17:51 EST 2012. Contains 206061 sequences.