A047455 - OEIS

A047455

Numbers that are congruent to {2, 3, 4} mod 8.

2, 3, 4, 10, 11, 12, 18, 19, 20, 26, 27, 28, 34, 35, 36, 42, 43, 44, 50, 51, 52, 58, 59, 60, 66, 67, 68, 74, 75, 76, 82, 83, 84, 90, 91, 92, 98, 99, 100, 106, 107, 108, 114, 115, 116, 122, 123, 124, 130, 131, 132, 138, 139, 140, 146, 147, 148, 154, 155, 156

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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

G.f.: x*(2+x+x^2+4*x^3)/((1-x)^2*(1+x+x^2)). [Colin Barker, May 13 2012]

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

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

a(n) = (24*n-21-15*cos(2*n*Pi/3)+5*sqrt(3)*sin(2*n*Pi/3))/9.

a(3k) = 8k-4, a(3k-1) = 8k-5, a(3k-2) = 8k-6. (End)