MathDB

The first four terms of an infinite sequence

S

of decimal digits are

1

9

8

2

, and succeeding terms are given by the final digit in the sum of the four immediately preceding terms. Thus

S

begins

1

9

8

2

0

9

9

0

8

6

3

7

4

\cdots

. Do the digits

3

0

4

4

ever come up consecutively in

S

Problem Statement