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A109441 Union of triangular numbers, even squares, and one less the odd squares, without duplicates. 1

%I

%S 0,1,3,4,6,8,10,15,16,21,24,28,35,36,45,48,55,63,64,66,78,80,91,99,

%T 100,105,120,136,143,144,153,168,171,190,195,196,210,224,231,253,255,

%U 256,276,300,324,325,351,378,400,406,435,465,484,576,676,784,900

%N Union of triangular numbers, even squares, and one less the odd squares, without duplicates.

%C Numbers of form k(k+1)/2, (2k)^2, or (2k+1)^2-1, k>=0.

%t Union[Flatten[Table[{(n + 1)^2 - 1, (2*n + 1)*(2*n + 1 - 1)/2, (2*n)^2, (2*n)*(2*n - 1)/2}, {n, 0, 15}]]]

%Y Unique values of union of A000217, A016742, and A033996.

%Y Cf. A120722.

%K nonn

%O 1,3

%A _Roger L. Bagula_, Jun 22 2007

%E Edited by _Ralf Stephan_, Oct 20 2013

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Last modified April 20 06:17 EDT 2014. Contains 240779 sequences.