A112870 Positive integers sorted by rote height and primal code characteristic.

1, 2, 6, 9, 12, 18, 36, 3, 4

Offset: 1

Author

Jon Awbrey, Oct 14 2005

Keywords

• nonn
• tabf

Comments

Positive integers m sorted by h(m) = A109301(m) and q(m) = A108352(m).

Using "quench" as a shorter substitute for "primal code characteristic", the rote corresponding to the positive integer m has a quench of q(m) = A108352(m). Numbers with primal code characteristic 0 are "unquenchable".

Examples

			Primal Function | Primal Code = a | h q | s | t
----------------+-----------------+-----+---+---
{ } ` ` ` ` ` ` | ` ` ` ` ` ` ` 1 | 0 1 | 1 | 1
----------------+-----------------+-----+---+---
1:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` 2 | 1 0 | 1 | 1
----------------+-----------------+-----+---+---
1:1 2:1 ` ` ` ` | ` ` ` ` ` ` ` 6 | 2 0 | ` |
2:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` 9 | 2 0 | ` |
1:2 2:1 ` ` ` ` | ` ` ` ` ` ` `12 | 2 0 | ` |
1:1 2:2 ` ` ` ` | ` ` ` ` ` ` `18 | 2 0 | ` |
1:2 2:2 ` ` ` ` | ` ` ` ` ` ` `36 | 2 0 | 5 |
----------------+-----------------+-----+---+---
2:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` 3 | 2 2 | ` |
1:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` 4 | 2 2 | 2 | 7
----------------+-----------------+-----+---+---
a = this sequence
h = rote height in gammas = A109301
q = primal code character = A108352
s = count in (h, q) class = A112871
t = count in height class = A109300
		

Links

• J. Awbrey, Riffs and Rotes

Crossrefs

Cf. A061396, A062504, A062537, A062860, A106177, A106178.

Cf. A108352, A108353, A108370 to A108374, A109300, A109301.

Cf. A111791 to A111801, A112846, A112868, A112869, A112871.