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Number of points of L1 norm 2n in Hamming code version of E_8 lattice.
2

%I #15 Sep 03 2023 15:53:27

%S 1,16,352,3376,19648,82256,273440,767600,1894784,4228752,8703712,

%T 16763824,30549568,53125072,88750496,143203568,224154368,341597456,

%U 508345440,740588080,1058521024,1487048272

%N Number of points of L1 norm 2n in Hamming code version of E_8 lattice.

%H Ray Chandler, <a href="/A010368/b010368.txt">Table of n, a(n) for n = 0..1000</a>

%H P. Solé, <a href="https://doi.org/10.1016/0012-365X(94)00142-6">Counting lattice points in pyramids</a>, Discr. Math. 139 (1995), 381-392.

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 56, -70, 56, -28, 8, -1).

%p series(((1+x)^8+224*x^2*(1+x)^4+256*x^4)/(1-x)^8,x,40);

%Y Cf. A010369.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, _Simon Plouffe_