The Science Times section of the New York Times, Tuesday, May 23, 2023, had an article on Sloane's Online Encyclopedia of Integer Sequences. A sidebar had four sequences for the reader to identify. Here's your chance to do so; identify the next in sequence:
- 0, 1, 8, 11, 69, 88, 96, 101, ...
- 1, 11, 21, 1211, 111221, 312211, ...
- 5, 8, 12, 18, 24, 30, 36, 42, ...
- 14, 18, 23, 28, 34, 42, 50, ...
Of course it would be no fun looking up the answers in the OEIS (or the NYT).
A. 111. These are numbers that are the same upside down.
B. 13112221. Each number describes the digits in the previous number. This was in the puzzle "What's Next?"
1=1 1
11=2 1's
21=1 2, 1 1
1211=1 1, 1 2, 2 1's
111221=3 1's, 2 2's, 1 1
312211=1 3, 1 1, 2 2's, 2 1's
C. 52. These are the sums of 2 consecutive primes.
2+3=5
3+5=8
5+7=12
7+11=18
11+13=24
13+17=30
17+19=36
19+23=42
23+29=52
D. 59. These are the streets of the Manhattan train stops.
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Posted by Math Man
on 2023-06-03 19:21:04 |
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