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A047556 Numbers that are congruent to {3, 6, 7} mod 8. 2
3, 6, 7, 11, 14, 15, 19, 22, 23, 27, 30, 31, 35, 38, 39, 43, 46, 47, 51, 54, 55, 59, 62, 63, 67, 70, 71, 75, 78, 79, 83, 86, 87, 91, 94, 95, 99, 102, 103, 107, 110, 111, 115, 118, 119, 123, 126, 127, 131, 134, 135, 139, 142, 143, 147, 150, 151, 155, 158, 159 (list; graph; refs; listen; history; text; internal format)
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*(1+x)*(x^2+3) / ((1+x+x^2)*(x-1)^2). - R. J. Mathar, Oct 08 2011

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

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

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

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

MAPLE

A047556:=n->(24*n-9*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9: seq(A047556(n), n=1..100); # Wesley Ivan Hurt, Jun 10 2016

MATHEMATICA

Select[Range[0, 150], MemberQ[{3, 6, 7}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jun 10 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [3, 6, 7]]; // Wesley Ivan Hurt, Jun 10 2016

CROSSREFS

Sequence in context: A087642 A084349 A126003 * A255053 A292762 A258233

Adjacent sequences:  A047553 A047554 A047555 * A047557 A047558 A047559

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 18 08:37 EDT 2019. Contains 322209 sequences. (Running on oeis4.)