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%I #11 Jun 17 2020 11:55:51
%S 0,0,1,0,0,1,2,0,1,2,3,0,1,2,3,4,0,1,0,0,1,2,3,4,5,0,1,2,3,4,5,6,0,1,
%T 2,3,4,5,6,7,0,1,2,3,4,5,6,7,8,0,1,2,3,4,5,6,7,8,9,0,1,2,0,1,2,3,4,5,
%U 6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,11,0
%N Y-coordinate of the bottom left corner of the n X 1 brick in the greedy tiling of the first quadrant with bricks of height 1 and width 1, 2, 3... (See Comments in A233380 for precise definition).
%C A233380 gives the X-coordinate.
%H Paul Tek, <a href="/A233381/b233381.txt">Table of n, a(n) for n = 1..10000</a>
%e The following diagram depicts the first 7 bricks:
%e Y
%e ^
%e |
%e +-------------+
%e | 7 |
%e 2 +-----+-------+---+
%e | 3 | 6 |
%e 1 +-+---+-------+---+-----+
%e |1| 2 | 4 | 5 |
%e 0 +-+---+-------+---------+
%e Hence:
%e a(1)=a(2)=a(4)=a(5)=0
%e a(3)=a(6)=1
%e a(7)=2
%Y Cf. A233380.
%K nonn
%O 1,7
%A _Paul Tek_, Dec 08 2013
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