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A047469
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Numbers that are congruent to {0, 1, 2} mod 8.
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2
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0, 1, 2, 8, 9, 10, 16, 17, 18, 24, 25, 26, 32, 33, 34, 40, 41, 42, 48, 49, 50, 56, 57, 58, 64, 65, 66, 72, 73, 74, 80, 81, 82, 88, 89, 90, 96, 97, 98, 104, 105, 106, 112, 113, 114, 120, 121, 122, 128, 129, 130, 136, 137, 138, 144, 145, 146, 152, 153, 154
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OFFSET
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1,3
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LINKS
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FORMULA
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G.f.: x*(1 + x + 6*x^2)/((1 - x)*(1 - x^3)).
a(n) = a(n-1) + a(n-3) - a(n-4) for n>4.
a(n) = (24*n-39-15*cos(2*n*Pi/3)+5*sqrt(3)*sin(2*n*Pi/3))/9.
a(3k) = 8k-6, a(3k-1) = 8k-7, a(3k-2) = 8k-8. (End)
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MAPLE
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MATHEMATICA
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Select[Range[0, 150], MemberQ[{0, 1, 2}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jun 09 2016 *)
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PROG
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(PARI) a(n)=n+(n-1)\3*5-1
(Magma) [n : n in [0..150] | n mod 8 in [0..2]]; // Wesley Ivan Hurt, Jun 09 2016
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CROSSREFS
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Cf. similar sequences with formula n+i*floor(n/3) listed in A281899.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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