

A320273


Arrange ternary integers in lexicographic order. a(n) is the index of the nth largest number in this sequence as interpreted in base 3/2 (starting from 0).


1



0, 1, 3, 2, 9, 4, 6, 10, 27, 5, 12, 7, 11, 28, 18, 13, 30, 8, 81, 15, 29, 19, 36, 14, 31, 21, 82, 16, 33, 20, 84, 37, 54, 32, 22, 83, 39, 17, 90, 34, 24, 85, 243, 38, 55, 45, 23, 87, 40, 57, 91, 35, 108, 25, 86, 244, 42, 56, 93, 46, 63, 88, 246, 41, 58, 92, 48, 109, 26, 99, 245, 43, 60, 94, 252, 47, 111, 64, 89
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OFFSET

0,3


COMMENTS

Every nonnegative integer appears exactly once.
The inverse is sequence A320274.


LINKS

Table of n, a(n) for n=0..78.


EXAMPLE

The ternary integers are: 0, 1, 2, 10, 11, 12, 20, 21, 22, 100 and so on. The values of these numbers interpreted in base 3/2 are 0, 1, 2, 1.5, 2.5, 3.5, 3, 4, 5, 2.25 and so on. The values in ascending order are: 0, 1, 1.5, 2, 2.25 and so on. They correspond to indices 0, 1, 3, 2, 9, and so on, which is our sequence.


CROSSREFS

Cf. A320274, A024629.
Sequence in context: A294370 A325984 A178774 * A266636 A182652 A347365
Adjacent sequences: A320270 A320271 A320272 * A320274 A320275 A320276


KEYWORD

nonn,base


AUTHOR

Tanya Khovanova and PRIMES STEP Junior group, Oct 08 2018


STATUS

approved



