A047803 - OEIS

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A047803

Theta series of 24-dimensional lattice D_16 + E_8.

1, 720, 146512, 8565952, 196434000, 2317602912, 17225174720, 93710019456, 407503812688, 1487330605840, 4744665673056, 13523554712640, 35251061710528, 84944383084512, 192127846616960, 409984044318336, 834655060080720

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

FORMULA

G.f.: d16(q) * e8(q) where e8(q) = 1 + 240*q^2 + 2160*q^4 + ... is the theta series for A004009 and d16(q) = 1 + 480*q^2 + 29152*q^4 + ... is the theta series for A022047. - Sean A. Irvine, May 21 2021

CROSSREFS

Cf. A004009, A022047

Sequence in context: A158049 A294705 A222004 * A166765 A008411 A221436

Adjacent sequences: A047800 A047801 A047802 * A047804 A047805 A047806

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Description corrected by Dave Yuen, May 01 2002

STATUS

approved