login
Triangle T(g, q) = number of rotes of weight g and primal code characteristic q.
5

%I #5 Nov 23 2013 20:14:22

%S 1,1,2,2,4,4,16,13,56,4

%N Triangle T(g, q) = number of rotes of weight g and primal code characteristic q.

%C T(g, q) = |{positive integers m : A062537(m) = g and A108352(m) = q}|.

%C This is the column that is labeled "s" in the tabulation of A112868.

%C Row sums = A061396.

%H J. Awbrey, <a href="https://oeis.org/wiki/Riffs_and_Rotes">Riffs and Rotes</a>

%e Table T(g, q), omitting empty cells, begins as follows:

%e g\q| 0 ` 1 ` 2 ` 3 ` 4 ` 5

%e ---+-----------------------

%e `0 | ` ` 1 ` ` ` ` ` ` ` `

%e `1 | 1 ` ` ` ` ` ` ` ` ` `

%e `2 | ` ` ` ` 2 ` ` ` ` ` `

%e `3 | 2 ` ` ` 4 ` ` ` ` ` `

%e `4 | 4 ` ` `16 ` ` ` ` ` `

%e `5 |13 ` ` `56 ` 4 ` ` ` `

%Y Cf. A061396, A062504, A062537, A062860, A106177, A106178.

%Y Cf. A108352, A108353, A108370 to A108374, A111800, A111801.

%Y Cf. A112846, A112868.

%K nonn,tabf

%O 1,3

%A _Jon Awbrey_, Oct 13 2005