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

1, 0, 9765, 1057224, 60544953, 1996794072, 41694856749, 584173436400, 5724932809365, 40448633569680, 210758816714985, 823875120414360, 2447745309517725, 5580858785942664, 9832942289229633, 13449656041565856

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..30

List of weight distributions

Formula

a(n) = A010087(2n). - Georg Fischer, Jul 14 2020

Mathematica

m:=63; 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. A010087.

Sequence in context: A204286 A242878 A247696 * A023339 A145209 A035911

Adjacent sequences: A010089 A010090 A010091 * A010093 A010094 A010095

Keyword

nonn,fini,full

Author

N. J. A. Sloane.

Status

approved