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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
OFFSET
1,3
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
KEYWORD
nonn,easy
STATUS
approved