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A047528 Numbers that are congruent to {0, 3, 7} mod 8. 2
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 (list; graph; refs; listen; history; text; internal format)
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)

MAPLE

A047528:=n->8*n/3-2+cos(2*n*Pi/3)-sin(2*n*Pi/3)/(3*sqrt(3)): seq(A047528(n), n=1..100); # Wesley Ivan Hurt, Jun 10 2016

MATHEMATICA

Select[Range[0, 150], MemberQ[{0, 3, 7}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jun 10 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [0, 3, 7]]; // Wesley Ivan Hurt, Jun 10 2016

CROSSREFS

Sequence in context: A062863 A194470 A078466 * A069122 A278519 A007970

Adjacent sequences:  A047525 A047526 A047527 * A047529 A047530 A047531

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 20 01:39 EDT 2018. Contains 316378 sequences. (Running on oeis4.)