A010095 Weight distribution of d=4 Hamming code of length 255.

1, 0, 680085, 1405509000, 1550251328625, 1046619143765400, 473991729034823125, 153151413728678046000, 36909490731397295108625, 6861064221248350742706000, 1009876431641919171349467525

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..126

List of weight distributions

Formula

a(n) = A010089(2n). - Georg Fischer, Jul 14 2020

Mathematica

m:=255; 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. A010089.

Sequence in context: A253868 A253875 A253541 * A203713 A236986 A258607

Adjacent sequences: A010092 A010093 A010094 * A010096 A010097 A010098

Keyword

nonn,fini,full

Author

N. J. A. Sloane.

Status

approved