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A281012
Zig-zag path that we can find descending by the main diagonal of the pyramid described in A245092.
3
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, 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, 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
OFFSET
1,4
COMMENTS
The odd-indexed terms are the widths of the successive terraces in the main diagonal of the pyramid.
Conjecture: the odd-indexed terms give A281007, the positive terms in A067742.
The even-indexed terms are the precipices from the successive terraces, descending by the main diagonal of the pyramid.
The even-indexed terms give A280919, the first differences of A071562.
The structure of the pyramid arises after the 90-degree-zig-zag folding of the diagram of the isosceles triangle A237593 (see links).
The mentioned pyramid is also a 3D-quadrant of the pyramid described in A244050.
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Feb 11 2017
STATUS
approved