Riffs & Rotes

[Jon Awbrey]

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o

R&R.  Note 40

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o

A111793 [pending]

%I A111793
%S A111793 1 1 2 2 4 2 8 10 1
%N A111793 Triangle T(g, h) = number of rotes of weight g and height h, both in gammas.
%C A111793 T(g, h) = |{positive integers m : A062537(m) = g and A109301(m) = h}|.
%C A111793 Row sums = A061396.  Column sums = A109300.  See A111792 for details.
%e A111793 Table T(g, h), omitting zeroes, starts out as follows:
%e A111793 g\h| 0 ` 1 ` 2 ` 3 ` 4 ` 5
%e A111793 ---+-----------------------
%e A111793 `0 | 1
%e A111793 `1 | ` ` 1
%e A111793 `2 | ` ` ` ` 2
%e A111793 `3 | ` ` ` ` 2 ` 4
%e A111793 `4 | ` ` ` ` 2 ` 8 `10
%e A111793 `5 | ` ` ` ` 1 ` ? ` ? ` ?
%Y A111793 Cf. A007097, A050924, A061396, A062504, A062537, A062860.
%Y A111793 Cf. A109300, A109301, A111791, A111792, A111800.
%K A111793 nonn, tabf, new
%O A111793 1,3
%A A111793 Jon Awbrey (jawbrey(AT)att.net), Aug 26 2005

Cf: A061396.  http://www.research.att.com/projects/OEIS?Anum=A061396
Cf: A062537.  http://www.research.att.com/projects/OEIS?Anum=A062537
Cf: A109300.  http://www.research.att.com/projects/OEIS?Anum=A109300
Cf: A109301.  http://www.research.att.com/projects/OEIS?Anum=A109301
Cf: A111792.  http://www.research.att.com/projects/OEIS?Anum=A111792

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
inquiry e-lab: http://stderr.org/pipermail/inquiry/
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o