A233381 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).

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, 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, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0

Offset

1,7

Comments

A233380 gives the X-coordinate.

Links

Paul Tek, Table of n, a(n) for n = 1..10000

Example

The following diagram depicts the first 7 bricks:
     Y
     ^
     |
     +-------------+
     |      7      |
   2 +-----+-------+---+
     |  3  |     6     |
   1 +-+---+-------+---+-----+
     |1| 2 |   4   |    5    |
   0 +-+---+-------+---------+
Hence:
   a(1)=a(2)=a(4)=a(5)=0
   a(3)=a(6)=1
   a(7)=2

Crossrefs

Cf. A233380.

Sequence in context: A025673 A025688 A025645 * A025680 A025667 A025689

Adjacent sequences: A233378 A233379 A233380 * A233382 A233383 A233384

Keyword

nonn

Author

Paul Tek, Dec 08 2013

Status

approved