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A113197 Positive integers sorted by rote weight, rote height and rote quench. 3
1, 2, 3, 4, 6, 9, 5, 7, 8, 16, 12, 18, 10, 14, 13, 23, 25, 27, 49, 64, 81, 512, 11, 17, 19, 32, 53, 128, 256, 65536, 36, 26, 46, 50, 54, 98, 125, 162, 2401, 15, 21, 37, 61, 169, 343, 529, 625, 729, 4096, 19683, 262144, 20, 24, 28, 48, 22, 34, 38, 106, 29, 41, 43, 83, 97 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For positive integer m, the rote weight in gammas is g(m) = A062537(m), the rote height in gammas is h(m) = A109301(m) and the rote quench or primal code characteristic is q(m) = A108352(m).

LINKS

Table of n, a(n) for n=1..64.

J. Awbrey, Table for Rote Weights 0 to 5

J. Awbrey, Riffs and Rotes

EXAMPLE

Primal Functions, Primal Codes, Sort Parameters and Subtotals

================================================================

Primal Function | ` ` ` Primal Code ` = ` a | g h q | r | s | t

================================================================

{ } ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 1 | 0 0 1 | 1 | 1 | 1

================================================================

1:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 2 | 1 1 0 | 1 | 1 | 1

================================================================

2:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 3 | 2 2 2 | ` | ` |

1:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 4 | 2 2 2 | 2 | 2 | 2

================================================================

1:1 2:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 6 | 3 2 0 | ` | ` |

2:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 9 | 3 2 0 | 2 | 2 |

----------------+---------------------------+-------+---+---+---

3:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 5 | 3 3 2 | ` | ` |

4:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 7 | 3 3 2 | ` | ` |

1:3 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` 8 | 3 3 2 | ` | ` |

1:4 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `16 | 3 3 2 | 4 | 4 | 6

================================================================

1:2 2:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `12 | 4 2 0 | ` | ` |

1:1 2:2 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `18 | 4 2 0 | 2 | 2 |

----------------+---------------------------+-------+---+---+---

1:1 3:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `10 | 4 3 0 | ` | ` |

1:1 4:1 ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `14 | 4 3 0 | 2 | ` |

----------------+---------------------------+-------+---+---+---

6:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `13 | 4 3 2 | ` | ` |

9:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `23 | 4 3 2 | ` | ` |

3:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `25 | 4 3 2 | ` | ` |

2:3 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `27 | 4 3 2 | ` | ` |

4:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `49 | 4 3 2 | ` | ` |

1:6 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `64 | 4 3 2 | ` | ` |

2:4 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `81 | 4 3 2 | ` | ` |

1:9 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` 512 | 4 3 2 | 8 |10 |

----------------+---------------------------+-------+---+---+---

5:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `11 | 4 4 2 | ` | ` |

7:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `17 | 4 4 2 | ` | ` |

8:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `19 | 4 4 2 | ` | ` |

1:5 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `32 | 4 4 2 | ` | ` |

16:1` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` `53 | 4 4 2 | ` | ` |

1:7 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` 128 | 4 4 2 | ` | ` |

1:8 ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` 256 | 4 4 2 | ` | ` |

1:16` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` 65536 | 4 4 2 | 8 | 8 |20

================================================================

a = this sequence

g = rote weight in gammas = A062537

h = rote height in gammas = A109301

q = primal code character = A108352

r = number in (g,h,q) set = A113198

s = count in (g, h) class = A111793

t = count in weight class = A061396

CROSSREFS

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

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

Cf. A111791 to A111801, A112846, A112868 to A112871, A113198.

Sequence in context: A136561 A112868 A111792 * A113199 A243572 A233559

Adjacent sequences:  A113194 A113195 A113196 * A113198 A113199 A113200

KEYWORD

nonn,tabf

AUTHOR

Jon Awbrey, Oct 18 2005

STATUS

approved

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Last modified August 7 22:44 EDT 2020. Contains 336279 sequences. (Running on oeis4.)