login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A112870 Positive integers sorted by rote height and primal code characteristic. 2

%I #5 Nov 23 2013 23:45:13

%S 1,2,6,9,12,18,36,3,4

%N Positive integers sorted by rote height and primal code characteristic.

%C Positive integers m sorted by h(m) = A109301(m) and q(m) = A108352(m).

%C 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".

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

%e Primal Function | Primal Code = a | h q | s | t

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

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

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

%e 1:1 ` ` ` ` ` ` | ` ` ` ` ` ` ` 2 | 1 0 | 1 | 1

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

%e 1:1 2:1 ` ` ` ` | ` ` ` ` ` ` ` 6 | 2 0 | ` |

%e 2:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` 9 | 2 0 | ` |

%e 1:2 2:1 ` ` ` ` | ` ` ` ` ` ` `12 | 2 0 | ` |

%e 1:1 2:2 ` ` ` ` | ` ` ` ` ` ` `18 | 2 0 | ` |

%e 1:2 2:2 ` ` ` ` | ` ` ` ` ` ` `36 | 2 0 | 5 |

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

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

%e 1:2 ` ` ` ` ` ` | ` ` ` ` ` ` ` 4 | 2 2 | 2 | 7

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

%e a = this sequence

%e h = rote height in gammas = A109301

%e q = primal code character = A108352

%e s = count in (h, q) class = A112871

%e t = count in height class = A109300

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

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

%Y Cf. A111791 to A111801, A112846, A112868, A112869, A112871.

%K nonn,tabf

%O 1,2

%A _Jon Awbrey_, Oct 14 2005

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)