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A047594 Numbers that are congruent to {0, 2, 3, 4, 5, 6, 7} mod 8. 1
0, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A004774 without the 1. - R. J. Mathar, Oct 18 2008

Complement of A017077. - Michel Marcus, Sep 11 2015

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,1,-1).

FORMULA

From R. J. Mathar, Mar 03 2009: (Start)

G.f.: x^2*(2+x+x^2+x^3+x^4+x^5+x^6)/((1-x)^2*(x^6+x^5+x^4+x^3+x^2+x+1)).

a(n) = a(n-7) + 8 for n>7. (End)

a(n) = n + floor((n-2)/7). - Wesley Ivan Hurt, Sep 11 2015

From Wesley Ivan Hurt, Jul 21 2016: (Start)

a(n) = a(n-1) + a(n-7) - a(n-8) for n>8.

a(n) = (56*n - 35 + (n mod 7) + ((n+1) mod 7) + ((n+2) mod 7) + ((n+3) mod 7) + ((n+4) mod 7) - 6*((n+5) mod 7) + ((n+6) mod 7))/49.

a(7k) = 8k-1, a(7k-1) = 8k-2, a(7k-2) = 8k-3, a(7k-3) = 8k-4, a(7k-4) = 8k-5, a(7k-5) = 8k-6, a(7k-6) = 8k-8. (End)

MAPLE

A047594:=n->n+floor((n-2)/7): seq(A047594(n), n=1..100); # Wesley Ivan Hurt, Sep 11 2015

MATHEMATICA

Table[n+Floor[(n-2)/7], {n, 100}] (* Wesley Ivan Hurt, Sep 11 2015 *)

Select[Range[0, 100], MemberQ[{0, 2, 3, 4, 5, 6, 7}, Mod[#, 8]] &] (* Vincenzo Librandi, Sep 12 2015 *)

DeleteCases[Range[0, 70], _?(Mod[#, 8]==1&)] (* Harvey P. Dale, Dec 19 2015 *)

PROG

(MAGMA) [n + Floor((n-2)/7) : n in [1..100]]; // Wesley Ivan Hurt, Sep 11 2015

(MAGMA) [n: n in [0..100] | n mod 8 in [0, 2, 3, 4, 5, 6, 7]]; // Vincenzo Librandi, Sep 12 2015

(PARI) a(n)=(8*n-2)\7 \\ Charles R Greathouse IV, Jul 21 2016

CROSSREFS

Cf. A004774, A017077.

Sequence in context: A032897 A032856 A023751 * A004774 A191845 A274375

Adjacent sequences:  A047591 A047592 A047593 * A047595 A047596 A047597

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 18 17:51 EDT 2019. Contains 321292 sequences. (Running on oeis4.)