[Inquiry] Re: Riffs & Rotes

[Jon Awbrey]

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R&R.  Note 64

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A112870 [pending]

%I A112870
%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".
%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,new
%O A112870 1,2
%A A112870 Jon Awbrey (jawbrey(AT)att.net), Oct 14 2005

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inquiry e-lab: http://stderr.org/pipermail/inquiry/
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