[Inquiry] Re: Riffs & Rotes

[Jon Awbrey]

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R&R.  Note 62

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A112868 [pending]

%I A112868
%S A112868 1,2,3,4,6,9,5,7,8,16,10,12,14,18,11,13,17,19,23,25,27,32,49,53,64,81,128,
%T A112868 256,512,65536,22,26,34,36,38,46,50,54,98,106,125,162,2401,15,21,29,31,37,
%U A112868 41,43,59,61,67,83,97,103,121,131,169,227,241,243,289,311,34,361,419,529
%N A112868 Positive integers sorted by rote weight and primal code characteristic.
%C A112868 Positive integers m sorted by g(m) = A062537(m) and q(m) = A108352(m).
%H A112868 Jon Awbrey, <a href="http://stderr.org/pipermail/inquiry/2005-October/003108.html">Table for Rote Weights 0 to 5</a>
%e A112868 Primal Functions, Primal Codes, Sort Parameters, Subtotals
%e A112868 ==========================================================
%e A112868 Primal Function | ` ` ` Primal Code ` = ` a | g q | s | t
%e A112868 ==========================================================
%e A112868 { } ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 1 | 0 1 | 1 | 1
%e A112868 ==========================================================
%e A112868 1:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 2 | 1 0 | 1 | 1
%e A112868 ==========================================================
%e A112868 2:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 3 | 2 2 | ` |
%e A112868 1:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 4 | 2 2 | 2 | 2
%e A112868 ==========================================================
%e A112868 1:1 2:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 6 | 3 0 | ` |
%e A112868 2:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 9 | 3 0 | 2 |
%e A112868 ----------------+---------------------------+-----+---+---
%e A112868 3:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 5 | 3 2 | ` |
%e A112868 4:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 7 | 3 2 | ` |
%e A112868 1:3 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 8 | 3 2 | ` |
%e A112868 1:4 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `16 | 3 2 | 4 | 6
%e A112868 ==========================================================
%e A112868 1:1 3:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `10 | 4 0 | ` |
%e A112868 1:2 2:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `12 | 4 0 | ` |
%e A112868 1:1 4:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `14 | 4 0 | ` |
%e A112868 1:1 2:2 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `18 | 4 0 | 4 |
%e A112868 ----------------+---------------------------+-----+---+---
%e A112868 5:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `11 | 4 2 | ` |
%e A112868 6:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `13 | 4 2 | ` |
%e A112868 7:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `17 | 4 2 | ` |
%e A112868 8:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `19 | 4 2 | ` |
%e A112868 9:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `23 | 4 2 | ` |
%e A112868 3:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `25 | 4 2 | ` |
%e A112868 2:3 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `27 | 4 2 | ` |
%e A112868 1:5 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `32 | 4 2 | ` |
%e A112868 4:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `49 | 4 2 | ` |
%e A112868 16:1` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `53 | 4 2 | ` |
%e A112868 1:6 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `64 | 4 2 | ` |
%e A112868 2:4 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `81 | 4 2 | ` |
%e A112868 1:7 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` 128 | 4 2 | ` |
%e A112868 1:8 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` 256 | 4 2 | ` |
%e A112868 1:9 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` 512 | 4 2 | ` |
%e A112868 1:16` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` 65536 | 4 2 |16 |20
%e A112868 ==========================================================
%e A112868 a = this sequence
%e A112868 g = rote weight in gammas = A062537
%e A112868 q = primal code character = A108352
%e A112868 s = count in (g, q) class = A112869
%e A112868 t = count in weight class = A061396
%Y A112868 Cf. A061396, A062504, A062537, A062860, A106177, A106178.
%Y A112868 Cf. A108352, A108353, A108370 to A108374, A111801, A112869.
%K A112868 nonn,tabf,new
%O A112868 1,2
%A A112868 Jon Awbrey (jawbrey(AT)att.net), Oct 13 2005

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