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 A113198 Tetrahedron T(g, h, q) = number of rotes of weight g, height h, quench q. 3
 1, 1, 2, 2, 4, 2, 2, 8, 8, 1, 8, 12, 4, 4, 28, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS T(g, h, q) = |{m : A062537(m) = g, A109301(m) = h, A108352(m) = q}|. This is the column that is labeled "r" in the tabulation of A113197. LINKS J. Awbrey, Riffs and Rotes EXAMPLE Table T(g, h, q), omitting empty cells, starts out as follows: --------+------------------------------------------------------------ g\(h,q) | (0,1) ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` (1,0) ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` (2,0) (2,2) ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` (3,0) (3,2) (3,3) ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` (4,0) (4,2) ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` (5,2) ========+============================================================ 0 ` ` ` | ` 1 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` --------+------------------------------------------------------------ 1 ` ` ` | ` ` ` ` 1 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` --------+------------------------------------------------------------ 2 ` ` ` | ` ` ` ` ` ` ` ` ` ` 2 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` --------+------------------------------------------------------------ 3 ` ` ` | ` ` ` ` ` ` ` 2 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 3 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 ` ` ` ` ` ` ` ` ` ` ` ` ` --------+------------------------------------------------------------ 4 ` ` ` | ` ` ` ` ` ` ` 2 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` 2 ` ` 8 ` ` ` ` ` ` ` ` ` ` ` ` ` 4 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 8 ` ` ` ` --------+------------------------------------------------------------ 5 ` ` ` | ` ` ` ` ` ` ` 1 ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 5 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` 8 ` `12 ` ` 4 ` ` ` ` ` ` ` ` ` ` 5 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 ` `28 ` ` ` ` 5 ` ` ` | ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `16 ` --------+------------------------------------------------------------ Row sums = A111793. Horizontal section sums = A061396. CROSSREFS Cf. A061396, A062504, A062537, A062860, A106177, A106178. Cf. A108352, A108353, A108370 to A108374, A109300, A109301. Cf. A111791 to A111801, A112846, A112868 to A112871, A113197. Sequence in context: A320165 A320164 A113200 * A074130 A320163 A113334 Adjacent sequences:  A113195 A113196 A113197 * A113199 A113200 A113201 KEYWORD nonn,tabf AUTHOR Jon Awbrey, Oct 18 2005 STATUS approved

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Last modified November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)