(PARI)
N = 22; S = 5;
M = matrix(N+1, N*numerator(S)+1);
Mget(n, j) = { M[1 + n, 1 + j*denominator(S)] };
Mset(n, j, v) = { M[1 + n, 1 + j*denominator(S)] = v };
Minit() = {
my(step = 1/denominator(S));
Mset(0, 0, 1);
for (n = 1, N, forstep (j = 0, n*S, step,
my(acc = 0);
for (k = abs(j-S), min(j+S, (n-1)*S), acc += Mget(n-1, k));
Mset(n, j, acc)));
};
Minit();
vector(1 + N\denominator(S), n, Mget((n-1)*denominator(S), 0))
(PARI) c(j, n) = sum(k=0, min((j + 5*n)\11, n), (-1)^k*binomial(n, k)*binomial(j - 11*k + n + 5*n - 1, j - 11*k + n*5))
