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

1,2

Links

Table of n, a(n) for n=1..61.

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

Formula

a(n) = 5*n - 4*floor((7 + sqrt(24*n - 23))/6). 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,  7, 12, 17;
  18, 23, 28, 33, 38, 43, 48;
  ...
(End)

Mathematica

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

Crossrefs

Cf. A045928.

Sequence in context: A320900 A215247 A160455 * A277598 A105501 A016873

Adjacent sequences: A045926 A045927 A045928 * A045930 A045931 A045932

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

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

Status

approved