
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The integer sequence  $(s_i)$  "having pattern 2016'" is defined as follows: $\circ$  The first member  $s_1$  is 2. $\circ$  The second member  $s_2$  is the least positive integer exceeding  $s_1$  and having digit 0 in its decimal notation. $\circ$  The third member  $s_3$  is the least positive integer exceeding  $s_2$  and having digit 1 in its decimal notation. $\circ$  The third member  $s_3$  is the least positive integer exceeding  $s_2$  and having digit 6 in its decimal notation.
The following members are defined in the same way. The required digits change periodically:  $2 \rightarrow 0 \rightarrow 1 \rightarrow 6 \rightarrow 2 \rightarrow 0 \rightarrow \ldots$ . The first members of this sequence are the following:  $2; 10; 11; 16; 20; 30; 31; 36; 42; 50$ . What are the 4 numbers that immediately follow  $s_k = 2016$  in this sequence?

Present the answer in LaTex format: \boxed{Your answer}
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