A163300 Even numbers without 2.

0, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132

Offset

1,2

Comments

Union of A163300 and A014076 = A141468.

From Omar E. Pol, Aug 04 2009: (Start)

Zero together with the even nonprimes.

The nonprime numbers (A018252) begin: 1,4,6,8,9,10,12,14,15,... So the words "prime" and "nonprime" normally refer to the natural numbers or positive integers: 1,2,3,4,5,6,... (Zero is not a member of A018252. See also the definition of A141468). (End)

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

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

Formula

a(n) = 2*A087156(n).

From Elmo R. Oliveira, May 20 2026: (Start)

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

E.g.f.: 2*x*(exp(x) - 1).

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

Mathematica

Drop[Range[0, 132, 2], {2}] (* Harvey P. Dale, May 05 2012 *)

Prog

(PARI) a(n)=if(n>1, 2*n, 0) \\ Charles R Greathouse IV, Apr 17 2024
(Python)
def A163300(n): return n<<1 if n>1 else 0 # Chai Wah Wu, Jul 31 2024

Crossrefs

Cf. A014076, A018252, A087156, A141468, A163300.

Sequence in context: A063127 A103517 A272651 * A193175 A093161 A307782

Adjacent sequences: A163297 A163298 A163299 * A163301 A163302 A163303

Keyword

nonn,easy

Author

Juri-Stepan Gerasimov, Jul 26 2009

Extensions

New definition from Charles R Greathouse IV, Jun 23 2024

Status

approved