# Sequence Puzzle - Sequence Of The Day

Look at these two sequences.
The rules of these two sequences are the same.

0 32 15 3 9 5 4 2 6 7 13 110 174 155 314 2120 5360 24671 119546 193002 240820 274454 153700 1397287 17916598 26245242 8880928 7320921 14726415 42969065 35308126 14978764 68756682 ...

8 11 94 58 10 49 57 ___ 1272 8699 3292 3332 48033 90311 112817 1149731 24909936 1838500 5264650 29232231 76236585 64535680 49758988 191873638 ...

Question 1: What is the missing number?

Find it.

Question 2: What will happen if you start up a sequence with the number $$12$$ and
continue the sequence using the same rule?

Write down the sequence.

Question 3: Is there a number greater than $$2$$ that can cause an infinite loop
in the sequence if you start the sequence with the number and continue with the rule?

If yes, write the number down.

• When l cIicked the "Post your question" button, it kept me waiting for a long time, posted the question and then said that an error occurred. Mar 14 '20 at 12:32
• AIso, l wonder if the "seasonal" tag is suitable here. This is my first "number-sequence" question and I wonder if I'm aIIowed to post number sequences. Mar 14 '20 at 12:35
• Please read question 2 & 3 before you want to close this question. Mar 14 '20 at 12:41

The rule is:

$$a_{n+1}$$ is the position of first occurrence of $$a_{n}$$ in Pi. You can check it at here.

Question 1: