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A047601 Numbers that are congruent to {0, 1, 3, 4, 5} mod 8. 1
0, 1, 3, 4, 5, 8, 9, 11, 12, 13, 16, 17, 19, 20, 21, 24, 25, 27, 28, 29, 32, 33, 35, 36, 37, 40, 41, 43, 44, 45, 48, 49, 51, 52, 53, 56, 57, 59, 60, 61, 64, 65, 67, 68, 69, 72, 73, 75, 76, 77, 80, 81, 83, 84, 85, 88, 89 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

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

FORMULA

From Chai Wah Wu, May 29 2016: (Start)

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

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

MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 1, -1}, {0, 1, 3, 4, 5, 8}, 50] (* G. C. Greubel, May 29 2016 *)

PROG

(MAGMA) [n : n in [0..100] | n mod 8 in [0, 1, 3, 4, 5]]; // Wesley Ivan Hurt, May 29 2016

CROSSREFS

Sequence in context: A047205 A283765 A120631 * A029675 A030310 A178837

Adjacent sequences:  A047598 A047599 A047600 * A047602 A047603 A047604

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 22 05:17 EST 2019. Contains 320385 sequences. (Running on oeis4.)