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The generalized Connell sequence C_{3,5}.
6

%I #21 Mar 08 2020 04:12:32

%S 1,2,5,8,11,14,17,18,21,24,27,30,33,36,39,42,45,48,49,52,55,58,61,64,

%T 67,70,73,76,79,82,85,88,91,94,95,98,101,104,107,110,113,116,119,122,

%U 125,128,131,134,137,140,143,146,149,152,155,156,159,162,165,168,171,174,177,180

%N The generalized Connell sequence C_{3,5}.

%H Douglas E. Iannucci and Donna Mills-Taylor, <a href="http://www.cs.uwaterloo.ca/journals/JIS/IANN/iann1.html">On Generalizing the Connell Sequence</a>, J. Integer Sequences, Vol. 2, 1999, #99.1.7.

%F a(n) = 3*n - 2*floor((13 + sqrt(40*n-31))/10). See general formula in A045928. - _Michel Marcus_, Apr 02 2013

%e From _Michel Marcus_, Apr 02 2013: (Start)

%e As a triangle, sequence begins:

%e 1;

%e 2, 5, 8, 11, 14, 17;

%e 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48;

%e ...

%e (End)

%p A045930:=n->3*n - 2*floor((13 + sqrt(40*n-31))/10); seq(A045930(n), n=1..100); # _Wesley Ivan Hurt_, Feb 03 2014

%t Table[3 n - 2*Floor[(13 + Sqrt[40 n - 31])/10], {n, 100}] (* _Wesley Ivan Hurt_, Feb 03 2014 *)

%Y Cf. A045928.

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_

%E More terms from jeroen.lahousse(AT)icl.com