Riffs & Rotes

[Jon Awbrey]

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R&R.  Note 42

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SeqFans,

I blame it on the influence of Mars ---
34,649,589 miles is just too darn close!

A111792 [corrected]

%I A111792
%S A111792 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
%N A111792 Positive integers sorted by rote weight (A062537) and rote height (A109301).
%e A111792 Table of Integers, Primal Codes, Sort Parameters, and Subtotals
%e A111792 ` ` a ` code` ` | g h | s | t
%e A111792 ----------------+-----+---+---
%e A111792 ` ` 1 = { } ` ` | 0 0 | 1 | 1
%e A111792 ----------------+-----+---+---
%e A111792 ` ` 2 = 1:1 ` ` | 1 1 | 1 | 1
%e A111792 ----------------+-----+---+---
%e A111792 ` ` 3 = 2:1 ` ` | 2 2 | ` |
%e A111792 ` ` 4 = 1:2 ` ` | 2 2 | 2 | 2
%e A111792 ----------------+-----+---+---
%e A111792 ` ` 6 = 1:1 2:1 | 3 2 | ` |
%e A111792 ` ` 9 = 2:2 ` ` | 3 2 | 2 |
%e A111792 ----------------+-----+---+---
%e A111792 ` ` 5 = 3:1 ` ` | 3 3 | ` |
%e A111792 ` ` 7 = 4:1 ` ` | 3 3 | ` |
%e A111792 ` ` 8 = 1:3 ` ` | 3 3 | ` |
%e A111792 ` `16 = 1:4 ` ` | 3 3 | 4 | 6
%e A111792 ----------------+-----+---+---
%e A111792 ` `12 = 1:2 2:1 | 4 2 | ` |
%e A111792 ` `18 = 1:1 2:2 | 4 2 | 2 |
%e A111792 ----------------+-----+---+---
%e A111792 ` `10 = 1:1 3:1 | 4 3 | ` |
%e A111792 ` `13 = 6:1 ` ` | 4 3 | ` |
%e A111792 ` `14 = 1:1 4:1 | 4 3 | ` |
%e A111792 ` `23 = 9:1 ` ` | 4 3 | ` |
%e A111792 ` `25 = 3:2 ` ` | 4 3 | ` |
%e A111792 ` `27 = 2:3 ` ` | 4 3 | ` |
%e A111792 ` `49 = 4:2 ` ` | 4 3 | ` |
%e A111792 ` `64 = 1:6 ` ` | 4 3 | ` |
%e A111792 ` `81 = 2:4 ` ` | 4 3 | ` |
%e A111792 ` 512 = 1:9 ` ` | 4 3 |10 |
%e A111792 ----------------+-----+---+---
%e A111792 ` `11 = 5:1 ` ` | 4 4 | ` |
%e A111792 ` `17 = 7:1 ` ` | 4 4 | ` |
%e A111792 ` `19 = 8:1 ` ` | 4 4 | ` |
%e A111792 ` `32 = 1:5 ` ` | 4 4 | ` |
%e A111792 ` `53 = 16:1` ` | 4 4 | ` |
%e A111792 ` 128 = 1:7 ` ` | 4 4 | ` |
%e A111792 ` 256 = 1:8 ` ` | 4 4 | ` |
%e A111792 65536 = 1:16` ` | 4 4 | 8 |20
%e A111792 ----------------+-----+---+---
%e A111792 a = this sequence
%e A111792 g = rote weight in gammas = A062537
%e A111792 h = rote height in gammas = A109301
%e A111792 s = count in (g, h) class = A111793
%e A111792 t = count in weight class = A061396
%Y A111792 Cf. A007097, A050924, A061396, A062504, A062537, A062860.
%Y A111792 Cf. A109300, A109301, A111791, A111793, A111800.
%K A111792 nonn, tabf, new
%O A111792 1,2
%A A111792 Jon Awbrey (jawbrey(AT)att.net), Aug 25 2005, revised Aug 27 2005

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