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Variation of Boustrophedon transform applied to 1,1,1,1,... Fill an array by diagonals, in alternating directions. The first entry is 1 each time. For the next element of a diagonal, add to the previous element the elements of the row and the column the new element is in. The final element of each diagonal gives a(n).
3

%I #4 Mar 02 2015 16:08:45

%S 1,2,6,23,116,736,5659,50796,521040,6006587,76874524,1081439062,

%T 16586149365,275442822510,4924040788654

%N Variation of Boustrophedon transform applied to 1,1,1,1,... Fill an array by diagonals, in alternating directions. The first entry is 1 each time. For the next element of a diagonal, add to the previous element the elements of the row and the column the new element is in. The final element of each diagonal gives a(n).

%e The array begins

%e 1 ....2 ...1 ..23 ..1 ...

%e 1 ....4 ..19 ..48 ...

%e 6 ...13 ..87 ...

%e 1 ..107 ...

%e 116 ...

%e 1 ...

%Y Cf. A000667, A035002, A059216, A059219, A059575, A059574.

%K easy,nonn

%O 1,2

%A _Floor van Lamoen_, Jan 23 2001