cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A010092 #12 Jul 08 2025 01:29:39
%S A010092 1,0,9765,1057224,60544953,1996794072,41694856749,584173436400,
%T A010092 5724932809365,40448633569680,210758816714985,823875120414360,
%U A010092 2447745309517725,5580858785942664,9832942289229633,13449656041565856
%N A010092 Weight distribution of d=4 Hamming code of length 63.
%D A010092 F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 129.
%H A010092 Georg Fischer, <a href="/A010092/b010092.txt">Table of n, a(n) for n = 0..30</a>
%H A010092 <a href="/wiki/List_of_weight_distributions">List of weight distributions</a>
%F A010092 a(n) = A010087(2n). - _Georg Fischer_, Jul 14 2020
%t A010092 m:=63; RecurrenceTable[{a[n]==(Binomial[m, n-1]-a[n-1]-(m-n+2)*a[n-2])/n, a
%t A010092 [0]==1, a[1]==0}, a, {n, 0, m}][[1;;m-2;;2]] (* _Georg Fischer_, Jul 14 2020; from the reference, p. 129 *)
%Y A010092 Cf. A010087.
%K A010092 nonn,fini,full
%O A010092 0,3
%A A010092 _N. J. A. Sloane_