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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 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 June 18 11:58 EDT 2021. Contains 345098 sequences. (Running on oeis4.)