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%I #11 Oct 15 2017 08:46:47
%S 1,1,1,1,2,1,1,5,4,1,1,5,8,3,1,1,19,50,37,9,1,1,13,54,63,26,4,1,1,47,
%T 284,479,299,83,11,1,1,51,525,1316,1183,454,82,8,1,1,139,2370,8597,
%U 10701,5761,1492,196,13,1,1,107,2872,14619,24736,17998,6429,1198,119,6,1
%N Triangle read by rows: T(n,k) = number of step shifted (decimated) sequence structures of length n using exactly k different symbols.
%C See A056371 for an explanation of step shifts. Permuting the symbols will not change the structure.
%D M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]
%H Andrew Howroyd, <a href="/A288620/b288620.txt">Table of n, a(n) for n = 1..1275</a>
%e Triangle begins
%e 1;
%e 1, 1;
%e 1, 2, 1;
%e 1, 5, 4, 1;
%e 1, 5, 8, 3, 1;
%e 1, 19, 50, 37, 9, 1;
%e 1, 13, 54, 63, 26, 4, 1;
%e 1, 47, 284, 479, 299, 83, 11, 1;
%e 1, 51, 525, 1316, 1183, 454, 82, 8, 1;
%e ...
%o (PARI) \\ see A056391 for Polya enumeration functions
%o T(n,k) = NonequivalentStructsExactly(StepShiftPerms(n), k); \\ _Andrew Howroyd_, Oct 14 2017
%Y Columns 2-6 are A056396, A056397, A056398, A056399, A056400.
%Y Row sums are A288621.
%Y Partial row sums include A056391, A056392, A056393, A056394, A056395.
%Y Cf. A056371, A288627, A285522, A285548, A132191.
%K nonn,tabl
%O 1,5
%A _Andrew Howroyd_, Jun 11 2017
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