cp's OEIS Frontend

A281012 Zig-zag path that we can find descending by the main diagonal of the pyramid described in A245092.

%I A281012 #20 Feb 15 2017 09:39:51
%S A281012 1,1,1,2,1,2,2,2,1,1,1,3,2,3,2,1,1,2,1,2,2,4,2,1,1,3,2,2,2,2,1,3,2,1,
%T A281012 1,4,2,2,2,3,2,3,2,1,1,1,1,4,2,2,2,4,2,3,2,1,1,2,2,4,2,2,3,5,2,3,2,1,
%U A281012 1,3,2,4,2,2,2,1,2,5,2,2,1,1,2,1,1,4,2,4,2,2,2,2,2,5,2,3,4,1,1,5,2,2,1,2
%N A281012 Zig-zag path that we can find descending by the main diagonal of the pyramid described in A245092.
%C A281012 The odd-indexed terms are the widths of the successive terraces in the main diagonal of the pyramid.
%C A281012 Conjecture: the odd-indexed terms give A281007, the positive terms in A067742.
%C A281012 The even-indexed terms are the precipices from the successive terraces, descending by the main diagonal of the pyramid.
%C A281012 The even-indexed terms give A280919, the first differences of A071562.
%C A281012 The structure of the pyramid arises after the 90-degree-zig-zag folding of the diagram of the isosceles triangle A237593 (see links).
%C A281012 The mentioned pyramid is also a 3D-quadrant of the pyramid described in A244050.
%H A281012 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpyr01.jpg">A pyramid related to the sum-of-divisors function and other integers sequences</a>
%H A281012 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpyr02.jpg">Diagram of the isosceles triangle A237593 before the 90-degree-zig-zag folding (rows: 1..28)</a>
%H A281012 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpyr05.jpg">Perspective view of the pyramid (first 16 levels)</a>
%Y A281012 Also A281007 and A280919 interleaved (conjectured).
%Y A281012 Cf.  A067742, A071562, A196020, A235791, A236104, A237048, A237270, A237271, A237591, A237593, A244050, A245092, A262626, A279387, A280223.
%K A281012 nonn
%O A281012 1,4
%A A281012 _Omar E. Pol_, Feb 11 2017