A111792 - OEIS

A111792

Positive integers sorted by rote weight (A062537) and rote height (A109301).

%I #6 Nov 23 2013 19:41:23

%S 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,

%T 32,53,128,256,65536

%N Positive integers sorted by rote weight (A062537) and rote height (A109301).

%H J. Awbrey, <a href="https://oeis.org/wiki/Riffs_and_Rotes">Riffs and Rotes</a>

%e Table of Integers, Primal Codes, Sort Parameters and Subtotals

%e ` ` a ` code` ` | g h | s | t

%e ----------------+-----+---+---

%e ` ` 1 = { } ` ` | 0 0 | 1 | 1

%e ----------------+-----+---+---

%e ` ` 2 = 1:1 ` ` | 1 1 | 1 | 1

%e ----------------+-----+---+---

%e ` ` 3 = 2:1 ` ` | 2 2 | ` |

%e ` ` 4 = 1:2 ` ` | 2 2 | 2 | 2

%e ----------------+-----+---+---

%e ` ` 6 = 1:1 2:1 | 3 2 | ` |

%e ` ` 9 = 2:2 ` ` | 3 2 | 2 |

%e ----------------+-----+---+---

%e ` ` 5 = 3:1 ` ` | 3 3 | ` |

%e ` ` 7 = 4:1 ` ` | 3 3 | ` |

%e ` ` 8 = 1:3 ` ` | 3 3 | ` |

%e ` `16 = 1:4 ` ` | 3 3 | 4 | 6

%e ----------------+-----+---+---

%e ` `12 = 1:2 2:1 | 4 2 | ` |

%e ` `18 = 1:1 2:2 | 4 2 | 2 |

%e ----------------+-----+---+---

%e ` `10 = 1:1 3:1 | 4 3 | ` |

%e ` `13 = 6:1 ` ` | 4 3 | ` |

%e ` `14 = 1:1 4:1 | 4 3 | ` |

%e ` `23 = 9:1 ` ` | 4 3 | ` |

%e ` `25 = 3:2 ` ` | 4 3 | ` |

%e ` `27 = 2:3 ` ` | 4 3 | ` |

%e ` `49 = 4:2 ` ` | 4 3 | ` |

%e ` `64 = 1:6 ` ` | 4 3 | ` |

%e ` `81 = 2:4 ` ` | 4 3 | ` |

%e ` 512 = 1:9 ` ` | 4 3 |10 |

%e ----------------+-----+---+---

%e ` `11 = 5:1 ` ` | 4 4 | ` |

%e ` `17 = 7:1 ` ` | 4 4 | ` |

%e ` `19 = 8:1 ` ` | 4 4 | ` |

%e ` `32 = 1:5 ` ` | 4 4 | ` |

%e ` `53 = 16:1` ` | 4 4 | ` |

%e ` 128 = 1:7 ` ` | 4 4 | ` |

%e ` 256 = 1:8 ` ` | 4 4 | ` |

%e 65536 = 1:16` ` | 4 4 | 8 |20

%e ----------------+-----+---+---

%e a = this sequence

%e g = rote weight in gammas = A062537

%e h = rote height in gammas = A109301

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

%e t = count in weight class = A061396

%Y Cf. A007097, A050924, A061396, A062504, A062537, A062860.

%Y Cf. A109300, A109301, A111791, A111793, A111800.

%K nonn,tabf

%O 1,2

%A _Jon Awbrey_, Aug 25 2005, revised Aug 27 2005