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A063179 Di-Boustrophedon transform of (1,0,0,0,...): Fill in an array by diagonals alternating in the 'up' and 'down' directions. The n-th diagonal starts with the n-th element of (1,0,0,0,...). When going in the 'up' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the row the new element is in. When going in the 'down' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the column the new element is in. The final element of the n-th diagonal is a(n). 4

%I

%S 1,1,2,4,12,42,178,870,4830,29976,205572,1543210,12583242,110725638,

%T 1045664646,10547679660

%N Di-Boustrophedon transform of (1,0,0,0,...): Fill in an array by diagonals alternating in the 'up' and 'down' directions. The n-th diagonal starts with the n-th element of (1,0,0,0,...). When going in the 'up' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the row the new element is in. When going in the 'down' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the column the new element is in. The final element of the n-th diagonal is a(n).

%e Array begins

%e 1 1 0 4 0 42 ...

%e 0 1 3 4 38 ...

%e 2 2 7 31 ...

%e 0 10 22 ...

%e 12 12 ...

%e 0 ...

%Y Cf. A000667, A059216, A063180, A063181.

%K easy,nonn

%O 1,3

%A _Floor van Lamoen_, Jul 09 2001

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Last modified October 19 07:50 EDT 2021. Contains 348074 sequences. (Running on oeis4.)