A304272 The largest even integer that can be written with n digits in base 3/2.

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

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