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 A100004 Theta series of Barnes-Wall lattice in 128 dimensions. 1
 1, 0, 0, 0, 1260230400, 0, 211691822284800, 167823813692620800, 478913396715566841600, 800774658647826785894400, 611331534352048834410577920, 247750040775246869910100377600, 59524143410351572596837132825600, 9219467698757233237143045380505600, 982518868151763901368740969501491200 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 REFERENCES J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag. LINKS Andy Huchala, Table of n, a(n) for n = 0..1000 Index entries for sequences related to Barnes-Wall lattices EXAMPLE Theta series = 1+1260230400*q^8+211691822284800*q^12+167823813692620800*q^14+ 478913396715566841600*q^16+800774658647826785894400*q^18+ 611331534352048834410577920*q^20+247750040775246869910100377600*q^22+ 59524143410351572596837132825600*q^24+9219467698757233237143045380505600*q^26+ 982518868151763901368740969501491200*q^28+ 75861944796267943358105372399071395840*q^30+ 4424187851601897335090905879137082310400*q^32+ 201630718820389821054181008698644837171200*q^34+ 7386564136116987592917746020874575301836800*q^36+ 222716047981438421360112524163657218025062400*q^38+O(q^40) or in terms of e8 and the cusp form: e8^16-3840*e8^13*delta+4942080*e8^10*delta^2-2416128000*e8^7*delta^3 +364791398400*e8^4*delta^4-8259045949440*e8*delta^5. PROG (Sage) e8 = eisenstein_series_qexp(4, 25, normalization = "integral"); delta = CuspForms(1, 12).0.q_expansion(25); f = e8^16-3840*e8^13*delta+4942080*e8^10*delta^2-2416128000*e8^7*delta^3+364791398400*e8^4*delta^4-8259045949440*e8*delta^5; f[:25] CROSSREFS Sequence in context: A187565 A204606 A104966 * A366068 A113641 A186909 Adjacent sequences: A100001 A100002 A100003 * A100005 A100006 A100007 KEYWORD nonn AUTHOR Eric Rains and N. J. A. Sloane, Sep 27 2005 STATUS approved

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Last modified December 1 23:26 EST 2023. Contains 367503 sequences. (Running on oeis4.)