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

%I A112870 #5 Nov 23 2013 23:45:13
%S A112870 1,2,6,9,12,18,36,3,4
%N A112870 Positive integers sorted by rote height and primal code characteristic.
%C A112870 Positive integers m sorted by h(m) = A109301(m) and q(m) = A108352(m).
%C A112870 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".
%H A112870 J. Awbrey, <a href="https://oeis.org/wiki/Riffs_and_Rotes">Riffs and Rotes</a>
%e A112870 Primal Function | Primal Code = a | h q | s | t
%e A112870 ----------------+-----------------+-----+---+---
%e A112870 { } ` ` ` ` ` ` | ` ` ` ` ` ` ` 1 | 0 1 | 1 | 1
%e A112870 ----------------+-----------------+-----+---+---
%e A112870 1:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` 2 | 1 0 | 1 | 1
%e A112870 ----------------+-----------------+-----+---+---
%e A112870 1:1 2:1 ` ` ` ` | ` ` ` ` ` ` ` 6 | 2 0 | ` |
%e A112870 2:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` 9 | 2 0 | ` |
%e A112870 1:2 2:1 ` ` ` ` | ` ` ` ` ` ` `12 | 2 0 | ` |
%e A112870 1:1 2:2 ` ` ` ` | ` ` ` ` ` ` `18 | 2 0 | ` |
%e A112870 1:2 2:2 ` ` ` ` | ` ` ` ` ` ` `36 | 2 0 | 5 |
%e A112870 ----------------+-----------------+-----+---+---
%e A112870 2:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` 3 | 2 2 | ` |
%e A112870 1:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` 4 | 2 2 | 2 | 7
%e A112870 ----------------+-----------------+-----+---+---
%e A112870 a = this sequence
%e A112870 h = rote height in gammas = A109301
%e A112870 q = primal code character = A108352
%e A112870 s = count in (h, q) class = A112871
%e A112870 t = count in height class = A109300
%Y A112870 Cf. A061396, A062504, A062537, A062860, A106177, A106178.
%Y A112870 Cf. A108352, A108353, A108370 to A108374, A109300, A109301.
%Y A112870 Cf. A111791 to A111801, A112846, A112868, A112869, A112871.
%K A112870 nonn,tabf
%O A112870 1,2
%A A112870 _Jon Awbrey_, Oct 14 2005