A111792 Positive integers sorted by rote weight (A062537) and rote height (A109301).

1, 2, 3, 4, 6, 9, 5, 7, 8, 16, 12, 18, 10, 13, 14, 23, 25, 27, 49, 64, 81, 512, 11, 17, 19, 32, 53, 128, 256, 65536

Offset

1,2

Links

Table of n, a(n) for n=1..30.

J. Awbrey, Riffs and Rotes

Example

Table of Integers, Primal Codes, Sort Parameters and Subtotals
` ` a ` code` ` | g h | s | t
----------------+-----+---+---
` ` 1 = { } ` ` | 0 0 | 1 | 1
----------------+-----+---+---
` ` 2 = 1:1 ` ` | 1 1 | 1 | 1
----------------+-----+---+---
` ` 3 = 2:1 ` ` | 2 2 | ` |
` ` 4 = 1:2 ` ` | 2 2 | 2 | 2
----------------+-----+---+---
` ` 6 = 1:1 2:1 | 3 2 | ` |
` ` 9 = 2:2 ` ` | 3 2 | 2 |
----------------+-----+---+---
` ` 5 = 3:1 ` ` | 3 3 | ` |
` ` 7 = 4:1 ` ` | 3 3 | ` |
` ` 8 = 1:3 ` ` | 3 3 | ` |
` `16 = 1:4 ` ` | 3 3 | 4 | 6
----------------+-----+---+---
` `12 = 1:2 2:1 | 4 2 | ` |
` `18 = 1:1 2:2 | 4 2 | 2 |
----------------+-----+---+---
` `10 = 1:1 3:1 | 4 3 | ` |
` `13 = 6:1 ` ` | 4 3 | ` |
` `14 = 1:1 4:1 | 4 3 | ` |
` `23 = 9:1 ` ` | 4 3 | ` |
` `25 = 3:2 ` ` | 4 3 | ` |
` `27 = 2:3 ` ` | 4 3 | ` |
` `49 = 4:2 ` ` | 4 3 | ` |
` `64 = 1:6 ` ` | 4 3 | ` |
` `81 = 2:4 ` ` | 4 3 | ` |
` 512 = 1:9 ` ` | 4 3 |10 |
----------------+-----+---+---
` `11 = 5:1 ` ` | 4 4 | ` |
` `17 = 7:1 ` ` | 4 4 | ` |
` `19 = 8:1 ` ` | 4 4 | ` |
` `32 = 1:5 ` ` | 4 4 | ` |
` `53 = 16:1` ` | 4 4 | ` |
` 128 = 1:7 ` ` | 4 4 | ` |
` 256 = 1:8 ` ` | 4 4 | ` |
65536 = 1:16` ` | 4 4 | 8 |20
----------------+-----+---+---
a = this sequence
g = rote weight in gammas = A062537
h = rote height in gammas = A109301
s = count in (g, h) class = A111793
t = count in weight class = A061396

Crossrefs

Cf. A007097, A050924, A061396, A062504, A062537, A062860.

Cf. A109300, A109301, A111791, A111793, A111800.

Sequence in context: A118080 A136561 A112868 * A113197 A113199 A243572

Adjacent sequences: A111789 A111790 A111791 * A111793 A111794 A111795

Keyword

nonn,tabf

Author

Jon Awbrey, Aug 25 2005, revised Aug 27 2005

Status

approved