Riffs & Rotes

Jon Awbrey jawbrey at att.net
Fri Oct 14 16:00:09 CEST 2005


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R&R.  Note 65

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A112871 [pending]

%I A112871
%S A112871 1,1,5,2
%N A112871 Triangle T(h, q) = number of rotes of height h and quench q.
%C A112871 T(h, q) = |{positive integers m : A109301(m) = h and A108352(m) = q}|.
%C A112871 This is the column that is labeled "s" in the tabulation of A112870.
%C A112871 q(m) = quench(m) = A108352(m) = primal code characteristic of m.
%e A112871 Table T(h, q), omitting empty cells, begins as follows:
%e A112871 h\q| 0 ` 1 ` 2
%e A112871 ---+----------
%e A112871 `0 | ` ` 1 ` `
%e A112871 `1 | 1 ` ` ` `
%e A112871 `2 | 5 ` ` ` 2
%e A112871 Row sums = A109300.
%Y A112871 Cf. A061396, A062504, A062537, A062860, A106177, A106178.
%Y A112871 Cf. A108352, A108353, A108370 to A108374, A109300, A109301.
%Y A112871 Cf. A111791 to A111801, A112846, A112868, A112869, A112870.
%K A112871 nonn,tabf,new,more
%O A112871 1,3
%A A112871 Jon Awbrey (jawbrey(AT)att.net), Oct 14 2005

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