A004274 0, 2 and the odd numbers.

0, 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131

Offset: 0

Author

N. J. A. Sloane

Keywords

• easy
• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (2, -1).

Crossrefs

Cf. A004280.

Programs

Mathematica

Join[{0,1,2},Range[3,151,2]] (* Harvey P. Dale, Aug 24 2012 *)

Formula

A004280 UNION {0}. - R. J. Mathar, Oct 28 2008

a(n) = 2*n - 3 + floor(2/n), n > 0. - Wesley Ivan Hurt, May 23 2013

From Chai Wah Wu, Apr 24 2017: (Start)

a(n) = 2*a(n-1) - a(n-2) for n > 4.

G.f.: x*(1 + x^3)/(1 - x)^2. (End)