A047539 Numbers that are congruent to {2, 4, 7} mod 8.

2, 4, 7, 10, 12, 15, 18, 20, 23, 26, 28, 31, 34, 36, 39, 42, 44, 47, 50, 52, 55, 58, 60, 63, 66, 68, 71, 74, 76, 79, 82, 84, 87, 90, 92, 95, 98, 100, 103, 106, 108, 111, 114, 116, 119, 122, 124, 127, 130, 132, 135, 138, 140, 143, 146, 148, 151, 154, 156, 159

Offset

1,1

Links

Table of n, a(n) for n=1..60.

Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1).

Formula

a(n) = floor((8*n-2)/3). - Gary Detlefs, Mar 13 2010

From Wesley Ivan Hurt, Jun 09 2016: (Start)

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

a(n) = a(n-1) + a(n-3) - a(n-4) for n>4.

a(n) = (24*n-9+2*sqrt(3)*sin(2*n*Pi/3))/9.

a(3k) = 8k-1, a(3k-1) = 8k-4, a(3k-2) = 8k-6. (End)

Maple

seq(floor((8*n-3)/3), n=1..51); # Gary Detlefs, Mar 07 2010

Mathematica

Table[Floor[(8 n - 2)/3], {n, 50}] (* Wesley Ivan Hurt, Feb 15 2014 *)

Prog

(Magma) [n : n in [0..150] | n mod 8 in [2, 4, 7]]; // Wesley Ivan Hurt, Jun 09 2016

Crossrefs

Sequence in context: A285968 A218772 A057843 * A190521 A186224 A008062

Adjacent sequences: A047536 A047537 A047538 * A047540 A047541 A047542

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved