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A105094
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Expansion of 8*eta(2*tau)^8/eta(tau)^16.
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0
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8, 128, 1152, 7680, 42112, 200448, 855552, 3345408, 12166272, 41609856, 134973184, 418023936, 1242729984, 3561814784, 9877810176, 26587137024, 69636039808, 177877244160, 443991342720, 1084762764800, 2598075516672
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Borcherds, Richard E., Automorphic forms with singularities on Grassmannians, Invent. Math. 132 (1998), 491-562.
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MAPLE
| gf:=8*product((1-q^(2*n))^8, n=1..100)/product((1-q^n)^16, n=1..100): s:=series(gf, q, 100): for k from 0 to 40 do printf(`%d, `, coeff(s, q, k)) od: - James A. Sellers (sellersj(AT)math.psu.edu), Apr 09 2005
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PROG
| (PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( 8*eta(x^2+A)^8/eta(x+A)^16, n))} /* Michael Somos Apr 9 2005 */
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CROSSREFS
| Sequence in context: A204194 A093586 A061549 * A036294 A133680 A013777
Adjacent sequences: A105091 A105092 A105093 * A105095 A105096 A105097
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2005
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EXTENSIONS
| More terms from Michael Somos Apr 07 2005
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