Engineering for the 21st century.

// Note G — Ada Lovelace, 1843
// "The Analytical Engine weaves algebraical patterns
//  just as the Jacquard-loom weaves flowers and leaves."

const binomial = (n, k) => {
  let r = 1;
  for (let i = 1; i <= k; i++) r = (r * (n - i + 1)) / i;
  return r;
};

function bernoulli(n) {
  const B = [1];
  for (let m = 1; m <= n; m++) {
    B[m] = 0;
    for (let k = 0; k < m; k++) {
      B[m] -= binomial(m + 1, k) * B[k];
    }
    B[m] /= m + 1;
  }
  return B;
}

// the first published computer program
bernoulli(8).forEach((b, i) => console.log("B" + i, b));

// Note G — Ada Lovelace, 1843
// "The Analytical Engine weaves algebraical patterns
//  just as the Jacquard-loom weaves flowers and leaves."

const binomial = (n, k) => {
  let r = 1;
  for (let i = 1; i <= k; i++) r = (r * (n - i + 1)) / i;
  return r;
};

function bernoulli(n) {
  const B = [1];
  for (let m = 1; m <= n; m++) {
    B[m] = 0;
    for (let k = 0; k < m; k++) {
      B[m] -= binomial(m + 1, k) * B[k];
    }
    B[m] /= m + 1;
  }
  return B;
}

// the first published computer program
bernoulli(8).forEach((b, i) => console.log("B" + i, b));