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A010092 Weight distribution of d=4 Hamming code of length 63. 1

%I #10 Jul 14 2020 20:33:34

%S 1,0,9765,1057224,60544953,1996794072,41694856749,584173436400,

%T 5724932809365,40448633569680,210758816714985,823875120414360,

%U 2447745309517725,5580858785942664,9832942289229633,13449656041565856

%N Weight distribution of d=4 Hamming code of length 63.

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 129.

%H Georg Fischer, <a href="/A010092/b010092.txt">Table of n, a(n) for n = 0..30</a>

%H <a href="/wiki/List_of_weight_distributions">List of weight distributions</a>

%F a(n) = A010087(2n). - _Georg Fischer_, Jul 14 2020

%t m:=63; RecurrenceTable[{a[n]==(Binomial[m, n-1]-a[n-1]-(m-n+2)*a[n-2])/n, a

%t [0]==1, a[1]==0}, a, {n, 0, m}][[1;;m-2;;2]] (* _Georg Fischer_, Jul 14 2020; from the reference, p. 129 *)

%Y Cf. A010087.

%K nonn,fini,full

%O 0,3

%A _N. J. A. Sloane_.

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Last modified April 16 08:27 EDT 2024. Contains 371698 sequences. (Running on oeis4.)