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

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full

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

Crossrefs

Cf. A010087.

Programs

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 *)

Formula

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