A045930 The generalized Connell sequence C_{3,5}.

1, 2, 5, 8, 11, 14, 17, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 95, 98, 101, 104, 107, 110, 113, 116, 119, 122, 125, 128, 131, 134, 137, 140, 143, 146, 149, 152, 155, 156, 159, 162, 165, 168, 171, 174, 177, 180

Offset

1,2

Links

Table of n, a(n) for n=1..64.

Douglas E. Iannucci and Donna Mills-Taylor, On Generalizing the Connell Sequence, J. Integer Sequences, Vol. 2, 1999, #99.1.7.

Formula

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

Example

From Michel Marcus, Apr 02 2013: (Start)
As a triangle, sequence begins:
   1;
   2,  5,  8, 11, 14, 17;
  18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48;
  ...
(End)

Maple

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

Mathematica

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

Crossrefs

Cf. A045928.

Sequence in context: A189525 A189369 A055048 * A140099 A276385 A109232

Adjacent sequences: A045927 A045928 A045929 * A045931 A045932 A045933

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

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

Status

approved