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
Examples
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
Links
- J. Awbrey, Riffs and Rotes