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%I #37 May 07 2023 05:29:46
%S 1,0,0,0,196656,8192,16967424,2260992,414835410,91570176,5027174400,
%T 1453260800,39049024416,13212672000,221932184576,82994429952
%N Theta series of laminated lattice LAMBDA_25 with minimal norm 4.
%C Theta series is an element of space of modular forms on Gamma_1(128) with Kronecker character 8 in modulus 128, weight 25/2, and dimension 192 over the integers. - _Andy Huchala_, May 04 2023
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 177.
%H Andy Huchala, <a href="/A024211/a024211_1.txt">Magma program</a>
%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/LAMBDA25.html">Home page for this lattice</a>
%H <a href="/index/La#laminated">Index entries for sequences related to laminated lattices</a>
%e Derivation from Leech lattice sequences A004034 and A008408:
%e .........1 = .........................1
%e .........0 = .........................0
%e .........0 = ............0.+..........0.+.........0
%e .........0 = ............0.+..........0.+.........0
%e ....196656 = ...........48.+.....196560.+........48
%e ......8192 = .........4096.+..........0.+......4096
%e ..16967424 = ........97152.+...16773120.+.....97152
%e ...2260992 = ......1130496.+..........0.+...1130496
%e .414835410 = 1.+...8400704.+..398034000.+...8400704.+.1
%e ..91570176 = 0.+..45785088.+..........0.+..45785088.+.0
%e 5027174400 = 0.+.198896640.+.4629381120.+.198896640.+.0
%e G.f. = 1 + 19665x*q^32 + 8192*q^40 + 16967424*q^48 + ...
%K nonn,more
%O 0,5
%A _N. J. A. Sloane_
%E Corrected and extended by Edward Pervin, Jun 10 2002
%E a(11)-a(15) from _Andy Huchala_, May 04 2023
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