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Search: id:A122225
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A122225 (1/4)*number of non-square rectangles with corners on an n X n grid of points. +0
1
1, 6, 20, 52, 111, 214, 376, 620, 967, 1452, 2096, 2952, 4047, 5422, 7128, 9236, 11773, 14834, 18450, 22704, 27675, 33460, 40090, 47708, 56383, 66214, 77276, 89748, 103647, 119206, 136476, 155592, 176681, 199858, 225224, 253104, 283555, 316692 (list; graph; listen)
OFFSET

3,2

LINKS

Jon Schoenfield, Table of n, a(n) for n = 3..500

Jon Schoenfield, QBasic program

EXAMPLE

a(3)=1 because there are 4 rectangles that can be formed on the square grid [0,1,2] X [0,1,2]: {(0 0),(0 1),(2 0),(2 1)}, {(0 0),(0 2),(1 0),(1 2)}, {(0 1),(0 2),(2 1),(2 2)}, {(1 0),(1 2),(2 0),(2 2)}.

CROSSREFS

Cf. A000537, A085582, A113751.

Sequence in context: A067117 A119365 A001211 this_sequence A027178 A055909 A036596

Adjacent sequences: A122222 A122223 A122224 this_sequence A122226 A122227 A122228

KEYWORD

nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 29 2006

EXTENSIONS

Corrected and extended by Jon E. Schoenfield (jonscho(AT)hiwaay.net), Oct 08 2006

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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