

A357061


Number of edges in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts.


4



4, 12, 36, 76, 132, 180, 292, 348, 516, 604, 804, 892, 1156, 1284, 1572, 1708, 2052, 2180, 2596, 2796, 3204, 3412, 3876, 4012, 4612, 4860, 5412, 5668, 6276, 6508, 7204, 7460, 8172, 8524, 9252, 9516, 10372, 10740, 11532, 11900, 12804, 13100, 14116, 14532, 15468, 15940, 16932, 17196, 18436
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OFFSET

0,1


COMMENTS

The even values of n that yield squares with nonsimple intersections are 32, 38, 44, 50, 54, 62, 76, 90, 98, ... .


LINKS



FORMULA

Conjecture: a(n) = 8*n^2 + 4 for squares that only contain simple intersections when cut by n internal squares. This is never the case for odd n >= 5.


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



