The answer to Le Monde's version is here: http://www.lemonde.fr/sciences/video/2013/04/18/les-defis-mathematiques-du-m... The total of 57, as expected in this version, was reached starting with a first "1" in the upper-left corner, and a second "1" in the upper-right corner of the 3 x 3 grid. Best, É. Propulsé d'un aPhone Le 18 avr. 2013 à 23:06, "Christian Boyer" <cboyer@club-internet.fr> a écrit :
Neil> I didn't quite understand Christian's remark about placing the two initial 1's in the same square
Because your two series seem OK, I am not sure what is unclear for you. A221866, Le Monde's version: place two 1s where you want, and play with sums A224784, more logical version: place one 1 in the first corner, and play with sums
The best place for the two 1s in Le Monde's version (for grids bigger than 3x3) is in the corner, and in the neighboring (Hor. or Ver.) cell of this corner. That's why I think that the records for the two versions will be the same for 4x4 and above.
Christian.
-----Message d'origine----- De : math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] De la part de Neil Sloane Envoyé : jeudi 18 avril 2013 22:18 À : math-fun Objet : Re: [math-fun] A grid with MAX
I revised A224784 and created a new entry (A221866) for the version of the game in the Le Monde video. As always updates and corrections are welcomed. Since the OEIS is now a wiki, you can - and should - make the updates yourself!
I didn't quite understand Christian's remark about placing the two initial 1's in the same square. I thought you could place only one number in a square? Or is this what Eric means when he says the original version is ill-defined?
Neil
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