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(L)-sieve transform of {1,4,9,16,...,n^2,...}=A000290.
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%I #3 Mar 30 2012 17:37:58

%S 1,3,6,9,13,18,23,29,35,42,49,57,66,75,85,95,106,117,129,141,154,167,

%T 181,195,210,225,241,258,275,293,311,330,349,369,389,410,431,453,475,

%U 498,521,545,569

%N (L)-sieve transform of {1,4,9,16,...,n^2,...}=A000290.

%C See A152009 for the definition of the (L)-sieve transform.

%C It appears that the first difference of {a(n)} starts with 2, followed by two occurrences of each consecutive integer except for the powers of 2, which occur only once, i.e. (2,3,3,4,5,5,6,6,7,7,8,9,9,...}. This has been verified for several hundred terms.

%Y A000290, A152009

%K nonn

%O 1,2

%A _John W. Layman_, Jan 06 2009