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A112870 Positive integers sorted by rote height and primal code characteristic. 2
1, 2, 6, 9, 12, 18, 36, 3, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

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".

LINKS

Table of n, a(n) for n=1..9.

J. Awbrey, Riffs and Rotes

EXAMPLE

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

a = this sequence

h = rote height in gammas = A109301

q = primal code character = A108352

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

t = count in height class = A109300

CROSSREFS

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

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

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

Sequence in context: A184119 A191873 A293789 * A169915 A236760 A086562

Adjacent sequences: A112867 A112868 A112869 * A112871 A112872 A112873

KEYWORD

nonn,tabf

AUTHOR

Jon Awbrey, Oct 14 2005

STATUS

approved

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)