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A047591 Numbers that are congruent to {1, 6, 7} mod 8. 1
1, 6, 7, 9, 14, 15, 17, 22, 23, 25, 30, 31, 33, 38, 39, 41, 46, 47, 49, 54, 55, 57, 62, 63, 65, 70, 71, 73, 78, 79, 81, 86, 87, 89, 94, 95, 97, 102, 103, 105, 110, 111, 113, 118, 119, 121, 126, 127, 129, 134, 135, 137, 142, 143, 145, 150, 151, 153, 158, 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

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

G.f.: x*(1+5*x+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-6-3*cos(2*n*Pi/3)-7*sqrt(3)*sin(2*n*Pi/3))/9.

a(3k) = 8k-1, a(3k-1) = 8k-2, a(3k-2) = 8k-7. (End)

MAPLE

A047591:=n->(24*n-6-3*cos(2*n*Pi/3)-7*sqrt(3)*sin(2*n*Pi/3))/9: seq(A047591(n), n=1..100); # Wesley Ivan Hurt, Jun 09 2016

MATHEMATICA

Select[Range[0, 150], MemberQ[{1, 6, 7}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jun 09 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [1, 6, 7]]; // Wesley Ivan Hurt, Jun 09 2016

CROSSREFS

Sequence in context: A049304 A168614 A045014 * A239869 A289547 A187922

Adjacent sequences:  A047588 A047589 A047590 * A047592 A047593 A047594

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 21 19:40 EST 2019. Contains 320376 sequences. (Running on oeis4.)