Gotta put these in...

4 8 15 16 23 42

4 8 15 16 23 42

2 3 5 7 11 13

4 8 15 16 23 42

The given sequence is: 4 8 15 16 23 42

This sequence is a reference to the TV show "Lost," where these numbers (4, 8, 15, 16, 23, 42) are associated with mysterious occurrences in the show. As far as the pattern goes, it is not a typical numerical sequence with an obvious mathematical rule.

So, if we are looking for the next number in the sequence based on a mathematical pattern, it's not possible to determine one as the pattern doesn't follow a typical numerical progression. However, if you are referencing the TV show "Lost," the next number would be 108, as it is the sum of all the previous numbers (4 + 8 + 15 + 16 + 23 + 42).

4 8 15 16 23 42

4 8 15 16 23 42

4 8 15 16 23 42

Congrats!

4 = 1+3

8 = 4+1+3

15 = 8+4+3

16 = 8+4+1+3

23 = 16+4+3

42 = 23+16+3

4 = 2^2 = 100

8 = 2^3 = 1000 = Prev << 1

15 = 2^0+2^1+2^2+2^3 = 1111 = Prev | 7

16 = 2^4 = 10000 = (Prev << 1) & ~Prev

23 = 2^0+2^1+2^2+2^4 = 10111 = Prev | 7

42 = 2^1+2^3+2^5 = 101010 = (Prev << 1) & ~4

4 8 15 16 23 42

Bit shifts

4 8 15 16 23 42

4 8 15 16 23 42

4 8 15 16 23 42

4 8 15 16 23 42

Just boys being boys

4 8 15 16 23 42