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Generalized Connell sequence C_{5,3}.
5

%I #23 Apr 16 2023 08:36:21

%S 1,2,7,12,17,18,23,28,33,38,43,48,49,54,59,64,69,74,79,84,89,94,95,

%T 100,105,110,115,120,125,130,135,140,145,150,155,156,161,166,171,176,

%U 181,186,191,196,201,206,211,216,221,226,231,232,237,242,247,252,257,262,267,272,277

%N Generalized Connell sequence C_{5,3}.

%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) = 5*n - 4*floor((7 + sqrt(24*n - 23))/6). 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, 7, 12, 17;

%e 18, 23, 28, 33, 38, 43, 48;

%e ...

%e (End)

%t Table[5*n - 4*Floor[(7 + Sqrt[24*n - 23])/6],{n,61}] (* _Stefano Spezia_, Apr 15 2023 *)

%Y Cf. A045928.

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_

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