A005659 If k appears so do 2k-2 and 3k-3. (duplicates omitted.)

4, 6, 9, 10, 15, 16, 18, 24, 27, 28, 30, 34, 42, 45, 46, 51, 52, 54, 58, 66, 69, 78, 81, 82, 87, 88, 90, 99, 100, 102, 106, 114, 123, 130, 132, 135, 136, 150, 153, 154, 159, 160, 162, 171, 172, 174, 178, 195, 196, 198, 202, 204, 210, 226, 231, 240, 243, 244, 258

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Examples

			From _Seiichi Manyama_, Feb 29 2024: (Start)
87, 130 and 258 are terms and 258 = 2*130 - 2 = 3*87 - 3.
135, 202 and 402 are terms and 402 = 2*202 - 2 = 3*135 - 3.
231, 346 and 690 are terms and 690 = 2*346 - 2 = 3*231 - 3. (End)
		

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..10000
• R. K. Guy, Letter to N. J. A. Sloane with attachment, 1982

Crossrefs

Cf. A005661.

Programs

Mathematica

Take[Union[Nest[Flatten[{#,2#-2,3#-3}]&,4,10]],100] (* Harvey P. Dale, Mar 21 2025 *)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Oct 01 2001