A244584 a(n) = n OR 3.

3, 3, 3, 3, 7, 7, 7, 7, 11, 11, 11, 11, 15, 15, 15, 15, 19, 19, 19, 19, 23, 23, 23, 23, 27, 27, 27, 27, 31, 31, 31, 31, 35, 35, 35, 35, 39, 39, 39, 39, 43, 43, 43, 43, 47, 47, 47, 47, 51, 51, 51, 51, 55, 55, 55, 55, 59, 59, 59, 59, 63, 63, 63, 63, 67, 67, 67

Offset: 0

Author

Gary Detlefs, Jun 30 2014

Keywords

• nonn
• easy

Comments

Terms of A004767 repeated four times. [Bruno Berselli, Jul 01 2014]

Crossrefs

Cf. A004767.

Cf. similar sequences listed in A244587.

Programs

Magma

[BitwiseOr(n, 3): n in [0..70]]; // Bruno Berselli, Jul 01 2014

Maple

with(Bits): seq(Or(n,3),n = 1..60);

Python

def A244584(n): return n|3 # Chai Wah Wu, Jan 18 2023

Formula

a(n) = (n+3)- (n AND 3).

a(n) = (n XOR 3) + (n AND 3).

a(n) = n + ((3*n+3) mod 4).

a(n) = 4*floor((n+4)/4)-1.

G.f.: (3 + x^4)/(1 - x - x^4 + x^5). [Bruno Berselli, Jul 01 2014]