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A112481 Tetrahedron T(g, w, h) = number of rotes of weight g, wayage w, height h. 2
1, 1, 2, 1, 4, 1, 8, 8, 2, 2, 12, 28, 16, 1, 12, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

T(g, w, h) = |{m : A062537(m) = g, A001221(m) = w, A109301(m) = h}|.

This is the column that is labeled "r" in the tabulation of A112480.

a(n) is a permutation of the elements in A112096.

g = h > 0 implies w = 1 and T(j, 1, j) = 2^(j-1) = A000079(j-1).

LINKS

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

J. Awbrey, Riffs and Rotes

EXAMPLE

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

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

g\(w,h) | (0,0) (1,1) (1,2) ` ` ` (1,3) ` ` ` (1,4) ` ` ` (1,5)

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

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

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

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

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

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

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

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

3 ` ` ` | ` ` ` ` ` ` ` 1 ` ` ` ` ` 4 ` ` ` ` ` ` ` ` ` ` ` ` `

3 ` ` ` | ` ` ` ` ` ` ` ` ` ` 1 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

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

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

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

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

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

5 ` ` ` | ` ` ` ` ` ` ` ` ` ` 1 ` ` ` ` `12 ` ` ` ` ` 4 ` ` ` `

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

Row sums = A111797. Horizontal section sums = A061396.

CROSSREFS

Cf. A000079, A001221, A007097, A014221, A050924.

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

Cf. A109300, A109301, A111791 to A111800.

Cf. A112095, A112096, A112480.

Sequence in context: A146221 A147457 A107061 * A134851 A264148 A038001

Adjacent sequences:  A112478 A112479 A112480 * A112482 A112483 A112484

KEYWORD

nonn,tabf

AUTHOR

Jon Awbrey, Sep 27 2005

STATUS

approved

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Last modified December 4 06:30 EST 2016. Contains 278749 sequences.