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A047586 Numbers that are congruent to {2, 3, 5, 6, 7} mod 8. 1
2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 18, 19, 21, 22, 23, 26, 27, 29, 30, 31, 34, 35, 37, 38, 39, 42, 43, 45, 46, 47, 50, 51, 53, 54, 55, 58, 59, 61, 62, 63, 66, 67, 69, 70, 71, 74, 75, 77, 78, 79, 82, 83, 85, 86, 87, 90, 91, 93, 94, 95, 98, 99, 101, 102, 103 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..65.

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

FORMULA

From Wesley Ivan Hurt, Jul 28 2016: (Start)

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

a(n) = a(n-1) + a(n-5) - a(n-6) for n > 6, a(n) = a(n-5) + 8 for n > 5.

a(n) = (40*n - 5 + 3*(n mod 5) + 3*((n+1) mod 5) - 2*((n+2) mod 5) + 3*((n+3) mod 5) - 7*((n+4) mod 5))/25.

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

MAPLE

A047586:=n->8*floor(n/5)+[(2, 3, 5, 6, 7)][(n mod 5)+1]: seq(A047586(n), n=0..100); # Wesley Ivan Hurt, Jul 28 2016

MATHEMATICA

Select[Range[0, 300], MemberQ[{2, 3, 5, 6, 7}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jul 28 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [2, 3, 5, 6, 7]]; // Wesley Ivan Hurt, Jul 28 2016

CROSSREFS

Sequence in context: A077337 A093501 A087007 * A103841 A003754 A293427

Adjacent sequences:  A047583 A047584 A047585 * A047587 A047588 A047589

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 25 03:50 EDT 2019. Contains 321450 sequences. (Running on oeis4.)