

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
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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(n1) with 2 added at the end.


LINKS

Table of n, a(n) for n=1..22.
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}]


CROSSREFS

Cf. A304024, A304025, A070885, A303500, A024629, A081848, A246435, A005428, A073941.
Sequence in context: A042349 A037495 A024763 * A037575 A305659 A008351
Adjacent sequences: A304269 A304270 A304271 * A304273 A304274 A304275


KEYWORD

nonn,base


AUTHOR

Tanya Khovanova and PRIMES STEP Senior group, May 09 2018


STATUS

approved



