A179101 Numbers which are not the sum of exactly one positive square and a sum of squares-minus-1.

2, 3, 5, 6, 8, 11, 14

Offset: 1

Author

Benoit Jubin, Jun 29 2010

Keywords

• fini
• full
• nonn

Comments

Sequence motivated by the study of certain replicate tilings, where each tile can be replaced by a square number of tiles.

Adding multiples of 3=2^2-1 to the numbers 1=1^2, 9=3^2 and 17=3^2+(3^2-1), one obtains all the integers not in the sequence.

Crossrefs

Cf. A000290 (squares), A005563 (squares-minus-1), A123120, A078135.