login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010093 Weight distribution of d=4 Hamming code of length 127. 1

%I #10 Jul 14 2020 20:35:31

%S 1,0,82677,40346376,10472045985,1633772700952,167982323077989,

%T 12100259735369136,638087062835640873,25460924781434105040,

%U 788752649609653468509,19363706818511194074168

%N Weight distribution of d=4 Hamming code of length 127.

%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="/A010093/b010093.txt">Table of n, a(n) for n = 0..62</a>

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

%F a(n) = A010088(2n). - _Georg Fischer_, Jul 14 2020

%t m:=127; RecurrenceTable[{a[n]==(Binomial[m, n-1]-a[n-1]-(m-n+2)*a[n-2])/n,

%t a[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. A010088.

%K nonn,fini,full

%O 0,3

%A _N. J. A. Sloane_.

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)