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%I #14 Feb 01 2022 23:17:41
%S 1,0,0,0,11160,0,1749888,22855680,232081500,1717223424,9366150528,
%T 38269550592,119637587496,286573658112,533982211840,771854598144,
%U 874731154374,771854598144,533982211840,286573658112
%N Weight distribution of [64,42,8] 3rd-order Reed-Muller code of length 64.
%H Georg Fischer, <a href="/A001727/b001727.txt">Table of n, a(n) for n = 0..32</a>
%H M. Terada, J. Asatani and T. Koumoto, <a href="http://isec.ec.okayama-u.ac.jp/home/kusaka/wd/index.html">Weight Distribution</a>
%H <a href="/wiki/List_of_weight_distributions">List of weight distributions</a>
%e 11160*x^8*y^56 + 771854598144*x^30*y^34 + 22855680*x^14*y^50 + 286573658112*x^26*y^38 + 38269550592*x^22*y^42 + 9366150528*x^20*y^44 + 232081500*x^16*y^48 + 1717223424*x^46*y^18 + 9366150528*x^44*y^20 + y^64 + 874731154374*x^32*y^32 + 533982211840*x^36*y^28 + 38269550592*x^42*y^22 + 533982211840*x^28*y^36 + 1717223424*x^18*y^46 + 1749888*x^12*y^52 + 286573658112*x^38*y^26 + 771854598144*x^34*y^30 + 119637587496*x^24*y^40 + 1749888*x^52*y^12 + 22855680*x^50*y^14 + 232081500*x^48*y^16 + 119637587496*x^40*y^24 + x^64 + 11160*x^56*y^8
%e The weight distribution is:
%e i A_i
%e 0 1
%e 8 11160
%e 12 1749888
%e 14 22855680
%e 16 232081500
%e 18 1717223424
%e 20 9366150528
%e 22 38269550592
%e 24 119637587496
%e 26 286573658112
%e 28 533982211840
%e 30 771854598144
%e 32 874731154374
%e 34 771854598144
%e 36 533982211840
%e 38 286573658112
%e 40 119637587496
%e 42 38269550592
%e 44 9366150528
%e 46 1717223424
%e 48 232081500
%e 50 22855680
%e 52 1749888
%e 56 11160
%e 64 1
%Y Cf. A001726.
%K nonn,fini,full
%O 0,5
%A _N. J. A. Sloane_
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