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Opus numbers of Beethoven's nine symphonies.
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%I #14 Jun 04 2022 09:50:48

%S 21,36,55,60,67,68,92,93,125

%N Opus numbers of Beethoven's nine symphonies.

%C Called the "Trice sequence" in C. A. Pickover's "Mazes for the Mind", 1992, p. 351.

%D George Grove, Beethoven and his Nine Symphonies (1896), reprinted by Dover Publications, Inc., New York.

%H <a href="http://www.classicalarchives.com/beethovn.html">Beethoven web site</a>

%H <a href="/index/Mu#music">Index entries for sequences based on music</a>

%e Symphony No. 1 in C (Op. 21)

%e Symphony No. 2 in D (Op. 36)

%e Symphony No. 3 in E flat (Op. 55), Eroica

%e Symphony No. 4 in B flat (Op. 60)

%e Symphony No. 5 in C minor (Op. 67)

%e Symphony No. 6 in F (Op. 68), Pastoral

%e Symphony No. 7 in A (Op. 92),

%e Symphony No. 8 in F (Op. 93),

%e Symphony No. 9 in D minor (Op. 125), Choral

%K fini,full,nonn

%O 1,1

%A _N. J. A. Sloane_, GEIER(AT)LaDune.Westfalen.De (Michael Gierhake)

%E This was a mystery for many years - even Clifford Pickover could not recall the explanation. It was finally identified in 1998 by Derek Holt (dfh(AT)maths.warwick.ac.uk).

%E Additional comments from Neven Juric, Apr 15 2010