A047528 - OEIS

A047528

Numbers that are congruent to {0, 3, 7} mod 8.

0, 3, 7, 8, 11, 15, 16, 19, 23, 24, 27, 31, 32, 35, 39, 40, 43, 47, 48, 51, 55, 56, 59, 63, 64, 67, 71, 72, 75, 79, 80, 83, 87, 88, 91, 95, 96, 99, 103, 104, 107, 111, 112, 115, 119, 120, 123, 127, 128, 131, 135, 136, 139, 143, 144, 147, 151, 152, 155, 159

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OFFSET

1,2

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+3)*(1+x) / ((1+x+x^2)*(x-1)^2). - R. J. Mathar, Jul 10 2015

From Wesley Ivan Hurt, Jun 10 2016: (Start)

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

a(n) = 8*n/3-2+cos(2*n*Pi/3)-sin(2*n*Pi/3)/(3*sqrt(3)).

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