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Digit Sequence (Posted on 2005-06-28) Difficulty: 2 of 5
Find the rule and continue this sequence of digits:

1235813941213533488671216141383377554...

Is there a limit to the number of times in a row a digit can appear?

See The Solution Submitted by Jer    
Rating: 3.6250 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: First 20,001 digits | Comment 8 of 15 |
(In reply to First 20,001 digits by Charlie)

That came from

s$ = "12"
p = 1
DO
  t = VAL(MID$(s$, p, 1)) + VAL(MID$(s$, p + 1, 1))
  s$ = s$ + LTRIM$(STR$(t))
  p = p + 1: PRINT p;
LOOP UNTIL LEN(s$) > 20000
OPEN "longstr.txt" FOR OUTPUT AS #2
DO
 PRINT #2, LEFT$(s$, 100)
 s$ = MID$(s$, 101)
LOOP UNTIL s$ = ""

CLOSE

111111 occurs beginning at positions 12,463, 13,928 and 17,290.

22222 occurs beginning at positions 16,044 and 17,858.

Added: The first occurrence of 111111 results from a sequence 4747; the other two from sequences of 1010101

The strings of 5 2's come from the strings of 6 1's.

Edited on June 28, 2005, 1:49 pm
  Posted by Charlie on 2005-06-28 13:41:15

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