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A059578 Variation of Boustrophedon transform applied to 1,1,1,1,... Fill an array by diagonals, all in the 'up' direction. The first column is 1,1,1,1,.... 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 first row gives a(n). 1

%I #6 Sep 29 2022 15:22:57

%S 1,2,7,30,147,792,4559,27500,171645,1099388,7185101,47724494,

%T 321225165,2186177302,15018795171,104011496474,725373340023,

%U 5089785834004,35907469451787,254541483884544,1812185157383017,12951828431246472,92893383046741073,668383820775639066

%N Variation of Boustrophedon transform applied to 1,1,1,1,... Fill an array by diagonals, all in the 'up' direction. The first column is 1,1,1,1,.... 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 first row gives a(n).

%e The array begins

%e 1 2 7 30 ...

%e 1 4 20 ...

%e 1 8 ...

%e 1 ...

%Y Cf. A000667, A035002, A059216, A059219, A059502, A059513.

%K easy,nonn

%O 1,2

%A _Floor van Lamoen_, Jan 23 2001

%E More terms from _Sean A. Irvine_, Sep 29 2022

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Last modified May 4 13:55 EDT 2024. Contains 372243 sequences. (Running on oeis4.)