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

%I #2 Mar 31 2012 10:31:22

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

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

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

%C 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.

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

%K fini,full,nonn

%O 1,1

%A _Benoit Jubin_, Jun 29 2010