Pattern Analysis:
To find the value of 151 151, we need to first understand the pattern in the given sequence.

The given sequence consists of pairs of numbers represented as a b = c, where c is the result of some operation performed on a and b.

First Pair:
In the first pair, 111 111 = 6. Let's analyze how this result is obtained.

The numbers 111 and 111 are identical, so let's represent them as a and b for simplicity.

We can observe that the result, 6, is obtained by counting the number of 1s in a and b. Since both a and b have three 1s, the result is 6.

Second Pair:
In the second pair, 121 121 = 8.

Again, let's represent the numbers as a and b.

In this case, the result, 8, is obtained by counting the number of 1s in a and b and then multiplying it by 2. Both a and b have one 1, so the result is 1 * 2 = 2.

Third Pair:
In the third pair, 131 131 = 10.

Similarly, let's represent the numbers as a and b.

The result, 10, is obtained by counting the number of 1s in a and b and then multiplying it by 2 and adding 2. Both a and b have one 1, so the result is 1 * 2 + 2 = 4 + 2 = 6.

Fourth Pair:
In the fourth pair, 141 141 = 12.

Let's represent the numbers as a and b.

The result, 12, is obtained by counting the number of 1s in a and b and then multiplying it by 2 and adding 4. Both a and b have one 1, so the result is 1 * 2 + 4 = 6 + 4 = 10.

Pattern Conclusion:
From the given sequence, we can conclude that the result is obtained by counting the number of 1s in a and b, multiplying it by 2, and then adding a constant value.

The constant value increases by 2 with each pair.

Applying the Pattern:
Now, let's apply this pattern to find the value of 151 151.

The numbers 151 and 151 have three 1s, so the result would be 3 * 2 + 12 = 6 + 12 = 18.

Therefore, 151 151 = 18.

Answer:
The value of 151 151 is 18.