A112846
Number of riffs on n or fewer nodes. Number of rotes on 2n+1 or fewer nodes.
Original entry on oeis.org
1, 2, 4, 10, 30, 103, 384, 1508, 6126, 25513, 108278, 466523, 2034981, 8968746, 39875940, 138760603, 178636543, 3026583484, 16028356176, 75647274620, 350111055991, 1618175863400, 7495933933620, 34821723061950
Offset: 0
Jon Awbrey, Oct 04 2005, based on calculations by Vladeta Jovovic and David W. Wilson
A112481
Tetrahedron T(g, w, h) = number of rotes of weight g, wayage w, height h.
Original entry on oeis.org
1, 1, 2, 1, 4, 1, 8, 8, 2, 2, 12, 28, 16, 1, 12, 4
Offset: 1
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.
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