1,1

For n=1,2 the are numerous ways, while for each of n=3 and n=4 there is only one way: n=3:{1,4,6,7,10,11,13,16},{2,3,5,8,9,12,14,15} (see A133483-A133484), n=4: {1,2,3,4,8,9,10,11,12,16},{5,6,7,13,14,15}.

Presumably for n >= 4 there are no solutions.

Cf. A133483, A133484, A135419.

Adjacent sequences: A135415 A135416 A135417 this_sequence A135419 A135420 A135421

Sequence in context: A065759 A088894 A015277 this_sequence A034818 A068260 A023294

nonn

Zak Seidov (zakseidov(AT)yahoo.com), Dec 01 2007