--description--

We can easily verify that none of the entries in the first seven rows of Pascal's triangle are divisible by 7:

            1
          1   1
        1   2   1
      1   3   3   1
    1   4   6   4   1
  1   5   10  10  5   1
1   6   15  20  15  6   1

However, if we check the first one hundred rows, we will find that only 2361 of the 5050 entries are not divisible by 7.

--instructions--

Find the number of entries which are not divisible by 7 in the first one billion (${10}^9$) rows of Pascal's triangle.

--hints--

entriesOfPascalsTriangle() should return 2129970655314432.

assert.strictEqual(entriesOfPascalsTriangle(), 2129970655314432);

--seed--

--seed-contents--

function entriesOfPascalsTriangle() {

  return true;
}

entriesOfPascalsTriangle();

--solutions--

// solution required