login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 A038001 A147080

Adjacent sequences:  A112478 A112479 A112480 * A112482 A112483 A112484

KEYWORD

nonn,tabf

AUTHOR

Jon Awbrey, Sep 27 2005

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified December 18 00:20 EST 2014. Contains 252040 sequences.