A010093 Weight distribution of d=4 Hamming code of length 127.

1, 0, 82677, 40346376, 10472045985, 1633772700952, 167982323077989, 12100259735369136, 638087062835640873, 25460924781434105040, 788752649609653468509, 19363706818511194074168

Offset

0,3

References

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

Links

Georg Fischer, Table of n, a(n) for n = 0..62

List of weight distributions

Formula

a(n) = A010088(2n). - Georg Fischer, Jul 14 2020

Mathematica

m:=127; RecurrenceTable[{a[n]==(Binomial[m, n-1]-a[n-1]-(m-n+2)*a[n-2])/n,
a[0]==1, a[1]==0}, a, {n, 0, m}][[1;; m-2;; 2]] (* Georg Fischer, Jul 14 2020; from the reference p. 129 *)

Crossrefs

Cf. A010088.

Sequence in context: A230786 A253937 A218187 * A046381 A237330 A217127

Adjacent sequences: A010090 A010091 A010092 * A010094 A010095 A010096

Keyword

nonn,fini,full

Author

N. J. A. Sloane.

Status

approved