cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A288620 Triangle read by rows: T(n,k) = number of step shifted (decimated) sequence structures of length n using exactly k different symbols.

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