How many squares on a chess board?

How many squares can you form on a chess board?

Obviously, there's the 64 squares. Together they form another square. Then there are 2x2 squares (a1-a2-b1-b2, for example), 3x3 squares (a1-c3), 4x4, 5x5, 6x6 and 7x7 squares. (There are 4 of those.)

If you add all that up, how many do you get?

And this is not a quiz question. I would like to know the answer.

64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 (8x8) = 168 squares !

So that is 8^2 + 7^2 + 6^2 + 5^2 + 4^2 +3^2 + 2^2 + 1^2 squares.

That's beautiful.

Thanks!

Ummm...try again...

64+49+36+25+16+9+4+1=204

Lol

There is even an animated answer: http://datagenetics.com/blog/february12019/index.html.

64, not Nintendo. -Swaggeneral T Ponder

204

1 1x1

5 2x2

14 3x3

30 4x4

55 5x5

91 6x6

140 7x7

204 8x8

285 9x9

385 10x10

506 11x11

650 12x12

819 13x13

1015 14x14

1240 15x15

For n*n grid, no. Of squares=n*(n+1)*(2n+1)/6

Hence 8*9**17/6=204

Or sum of n^2 from 1 to 8

Try the same thing, but for the XXL chess board

1496 then

Now try the same for an 18 x 18 go board.

64 playable squares plus the board itself equals 65 squares