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A047583 Numbers that are congruent to {0, 3, 5, 6, 7} mod 8. 1
0, 3, 5, 6, 7, 8, 11, 13, 14, 15, 16, 19, 21, 22, 23, 24, 27, 29, 30, 31, 32, 35, 37, 38, 39, 40, 43, 45, 46, 47, 48, 51, 53, 54, 55, 56, 59, 61, 62, 63, 64, 67, 69, 70, 71, 72, 75, 77, 78, 79, 80, 83, 85, 86, 87, 88 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 1, -1}, {0, 3, 5, 6, 7, 8}, 50] (* G. C. Greubel, May 29 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [0, 3, 5, 6, 7]]; // Wesley Ivan Hurt, May 29 2016

CROSSREFS

Sequence in context: A139636 A219922 A159559 * A010906 A114309 A323828

Adjacent sequences:  A047580 A047581 A047582 * A047584 A047585 A047586

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 23 00:18 EST 2019. Contains 320411 sequences. (Running on oeis4.)