proposed

approved

editing

proposed

J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon on transform, J. Combin. Theory, 17A (1996), 44-54 1996 (<a href="http://neilsloane.com/doc/bous.txt">Abstract</a>, <a href="http://neilsloane.com/doc/bous.pdf">pdf</a>, <a href="http://neilsloane.com/doc/bous.ps">ps</a>).

0, 1;

0, 0, 1;

1, 1, 1, 0;

3, 2, 1, 0, 0;

0, 3, 5, 6, 6, 6;

approved

editing

proposed

approved

editing

proposed

Suggested by first Atkinson referencearticle in Information Processing Letters.

M. D. Atkinson: Zigzag permutations , Partial orders and comparison problems, Sixteenth Southeastern Conference on Combinatorics, Graph Theory and comparisons of adjacent elements, Information Processing Letters 21 Computing, (Boca Raton, Feb 1985), 187Congressus Numerantium 47, 77-18988.

M. D. Atkinson: Partial orders and comparison problems, Sixteenth Southeastern Conference on Combinatorics, Graph Theory and Computing, (Boca Raton, Feb 1985), Congressus Numerantium 47, 77-88.

M. D. Atkinson, <a href="https://doi.org/10.1016/0020-0190(85)90057-2">Zigzag permutations and comparisons of adjacent elements</a>, Information Processing Letters 21 (1985), 187-189.

1; 0,1; 0,0,1; 1,1,1,0; 3,2,1,0,0; 0,3,5,6,6,6; ...

Triangle begins:

1;

0,1;

0,0,1;

1,1,1,0;

3,2,1,0,0;

0,3,5,6,6,6;

...

approved

editing

editing

approved

Reinhard Zumkeller, <a href="/A058257/b058257.txt">Rows n = 0..120 of triangle, flattened</a>

Reinhard Zumkeller, <a href="/A058257/b058257.txt">Table of n, a(n) for n = 0..7380</a>

(Haskell)

a058257 n k = a058257_tabl !! n !! k

a058257_row n = a058257_tabl !! n

a058257_tabl = [1] : ox 0 [1] where

ox turn xs = ys : ox (mod (turn + 1) 4) ys

where ys | turn <= 1 = scanl (+) 0 xs

| otherwise = reverse $ scanl (+) 0 $ reverse xs

-- Reinhard Zumkeller, Nov 01 2013

Reinhard Zumkeller, <a href="/A058257/b058257.txt">Table of n, a(n) for n = 0..7380</a>

approved

editing

J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon on transform, J. Combin. Theory, 17A 44-54 1996 (<a href="http://www.research.attneilsloane.com/~njas/doc/bous.txt">Abstract</a>, <a href="http://www.research.attneilsloane.com/~njas/doc/bous.pdf">pdf</a>, <a href="http://www.research.attneilsloane.com/~njas/doc/bous.ps">ps</a>).