A320274 Arrange ternary integers in lexicographic order. Put the order number for each term when their values are interpreted in base 3/2 (starting from 0).

0, 1, 3, 2, 5, 9, 6, 11, 17, 4, 7, 12, 10, 15, 23, 19, 27, 37, 14, 21, 29, 25, 34, 46, 40, 53, 68, 8, 13, 20, 16, 24, 33, 28, 39, 51, 22, 31, 43, 36, 48, 63, 56, 71, 88, 45, 59, 75, 66, 83, 103, 93, 114, 138, 32, 44, 57, 49, 64, 81, 72, 90, 111, 60, 77, 96, 85, 106, 129, 117, 142, 169, 100, 122, 148, 135, 162

Offset

0,3

Comments

Every nonnegative integer appears exactly once.

Links

Table of n, a(n) for n=0..76.

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, 2.5 and so on. Consider n=4. The corresponding ternary integer is 11 with the value 2.5. 2.5 is the fifth positive value on the list, thus a(4) = 5.

Crossrefs

The inverse is sequence A320273.

Cf. A024629.

Sequence in context: A254331 A210742 A175056 * A333398 A257705 A257878

Adjacent sequences: A320271 A320272 A320273 * A320275 A320276 A320277

Keyword

nonn,base

Author

Tanya Khovanova and PRIMES STEP Junior group, Oct 08 2018

Status

approved