A045929 Generalized Connell sequence C_{5,3}.
1, 2, 7, 12, 17, 18, 23, 28, 33, 38, 43, 48, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 206, 211, 216, 221, 226, 231, 232, 237, 242, 247, 252, 257, 262, 267, 272, 277
Offset: 1
Examples
From _Michel Marcus_, Apr 02 2013: (Start) As a triangle, sequence begins: 1; 2, 7, 12, 17; 18, 23, 28, 33, 38, 43, 48; ... (End)
Links
- Douglas E. Iannucci and Donna Mills-Taylor, On Generalizing the Connell Sequence, J. Integer Sequences, Vol. 2, 1999, #99.1.7.
Crossrefs
Cf. A045928.
Programs
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Mathematica
Table[5*n - 4*Floor[(7 + Sqrt[24*n - 23])/6],{n,61}] (* Stefano Spezia, Apr 15 2023 *)
Formula
a(n) = 5*n - 4*floor((7 + sqrt(24*n - 23))/6). See general formula in A045928. - Michel Marcus, Apr 02 2013
Extensions
More terms from jeroen.lahousse(AT)icl.com