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%I #12 Jan 26 2014 15:37:08
%S 1,1,4,2,1,6,7,4,2,6,6,1,2,4,7,1,2,4,-1,-3,0,4,-1,-11,-6,-1,-5,-13,
%T -10,-4,-10,-14,-10,-9,-13,-17,-12,-11,-19,-18,-13,-15,-19,-18,-15,
%U -18,-23,-19,-15,-18,-25,-23,-18,-22,-30,-25,-20,-27,-34,-30,-24,-30,-39,-35,-26,-33,-44,-39,-31,-35,-46,-42,-34,-39,-47
%N Y = X = 'i + .25(ii + jj + kk + e); Z = 'i - i' + .5(jj + kk - jk + kj) + e. See pdf-file for an exact definition (this sequence gives an initial term 1); Version "jes".
%C Compare with A108618. Beginning at a(16350) = 560, the sequence apparently enters a loop and repeats the 60 terms: 560, 382, 327, 503, 558, 383, 328, 503, 557, 383, 327, 504, 558, 382, 327, 504, 560, 381, 327, 506, 559, 380, 327, 507, 559, 377, 326, 508, 558, 377, 328, 508, 559, 377, 326, 509, 560, 377, 325, 509, 559, 378, 326, 508, 559, 378, 328, 507, 559, 380, 327, 506, 559, 381, 327, 503, 558, 382, 326, 503.
%C Let f(n) give the frequency of occurrence of the number n in the above 60 term set. Then f(560) = 3, f(382) = 3, f(327) = 7, f(503) = 4, f(558) = 4, f(383) = 2, f(328) = 3, f(557) = 1, f(504) = 2, f(381) = 2, f(506) = 2, f(559) = 7, f(380) = 2, f(507) = 2, f(377) = 4, f(326) = 4, f(508) = 3, f(509) = 2, f(325) = 1, f(378) = 2
%C Example MUSICALGORITHMS settings (link): Pitch: Scale values 11-66, Duration: Scaling 0-2 (perform division operation).
%H C. Dement, <a href="/A119953/b119953.txt">Table of n, a(n) for n = 0..30000</a>
%H C. Dement, <a href="/A119953/a119953.pdf">Construction of an integer sequence with musical properties</a>
%H J. Middleton, <a href="http://musicalgorithms.ewu.edu/algorithms/import.html">Musicalgorithms</a>.
%Y Cf. A119954, A119955, A119956, A119957, A119958, A119959, A108618.
%K sign,hear
%O 0,3
%A _Creighton Dement_, May 30 2006
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