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A304272
The largest even integer that can be written with n digits in base 3/2.
8
2, 21, 212, 2122, 21221, 212211, 2122111, 21221112, 212211122, 2122111221, 21221112212, 212211122121, 2122111221211, 21221112212112, 212211122121122, 2122111221211221, 21221112212112212, 212211122121122121, 2122111221211221212, 21221112212112212121, 212211122121122121211, 2122111221211221212112
OFFSET
1,1
COMMENTS
a(n) is a prefix of a(n+1).
The largest, not necessarily even, integer in base 3/2 with n digits is a(n-1) with 2 added at the end.
LINKS
B. Chen, R. Chen, J. Guo, S. Lee et al., On Base 3/2 and its Sequences, arXiv:1808.04304 [math.NT], 2018.
EXAMPLE
The number 4 in base 3/2 is 21, and number 6 is 210. Therefore, 21 is the largest even integer with 2 digits in base 3/2.
MATHEMATICA
Table[StringTake["212211122121122121211221211212112", n], {n, 32}]
KEYWORD
nonn,base
AUTHOR
Tanya Khovanova and PRIMES STEP Senior group, May 09 2018
STATUS
approved