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A113200 Tetrahedron T(g, q, h) = number of rotes of weight g, quench q, height h. 1
1, 1, 2, 2, 4, 2, 2, 8, 8, 1, 8, 4, 12, 28, 16, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

T(g, q, h) = |{m : A062537(m) = g, A108352(m) = q, A109301(m) = h}|.

This is the column that is labeled "r" in the tabulation of A113199.

a(n) is a permutation of the elements in A113198.

LINKS

Table of n, a(n) for n=1..16.

J. Awbrey, Riffs and Rotes

EXAMPLE

Table T(g, q, h), omitting empty cells, starts out as follows:

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

g\(q,h) | (1,0) (0,1) (0,2) ` ` ` (0,3) ` ` ` ` ` ` (0,4) ` ` ` ` ` `

` ` ` ` | ` ` ` ` ` ` ` ` ` (2,2) ` ` ` (2,3) ` ` ` ` ` ` (2,4) (2,5)

` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` (3,3) ` ` ` ` ` ` ` ` `

========+============================================================

0 ` ` ` | ` 1 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

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

1 ` ` ` | ` ` ` ` 1 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

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

2 ` ` ` | ` ` ` ` ` ` ` ` ` ` 2 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

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

3 ` ` ` | ` ` ` ` ` ` ` 2 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

3 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 ` ` ` ` ` ` ` ` ` ` ` ` `

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

4 ` ` ` | ` ` ` ` ` ` ` 2 ` ` ` ` ` 2 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

4 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 8 ` ` ` ` ` ` ` ` 8 ` ` ` `

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

5 ` ` ` | ` ` ` ` ` ` ` 1 ` ` ` ` ` 8 ` ` ` ` ` ` ` ` 4 ` ` ` ` ` ` `

5 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `12 ` ` ` ` ` ` ` `28 ` `16 `

5 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 ` ` ` ` ` ` ` ` ` `

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

Row sums = A112869. Horizontal section sums = A061396.

CROSSREFS

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

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

Cf. A111791 to A111801, A112868 to A112871, A113197 to A113199.

Sequence in context: A320166 A320165 A320164 * A113198 A074130 A320163

Adjacent sequences:  A113197 A113198 A113199 * A113201 A113202 A113203

KEYWORD

nonn,tabf

AUTHOR

Jon Awbrey, Oct 18 2005

STATUS

approved

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Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)