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A184618
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a(n) = floor(n*r + h), where r=sqrt(2) and h=1/3; complement of A184619.
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10
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1, 3, 4, 5, 7, 8, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 55, 56, 58, 59, 61, 62, 63, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 80, 82, 83, 85, 86, 88, 89, 90, 92, 93, 95, 96, 97
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OFFSET
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1,2
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COMMENTS
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Sequences of the form (floor(n*r + h)) are sometimes called nonhomogeneous Beatty sequences when h is not zero.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n) = floor(n*r + h), where r=sqrt(2), h=1/3.
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MATHEMATICA
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r=2^(1/2); h=1/3; s=r/(r-1);
Table[Floor[n*r+h], {n, 1, 120}] (* A184618 *)
Table[Floor[n*s+h-h*s], {n, 1, 120}] (* A184619 *)
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PROG
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(MAGMA) [Floor(n*Sqrt(2)+1/3): n in [1..80]]; // Vincenzo Librandi, Jul 07 2011
(PARI) a(n)=floor(n*sqrt(2)+1/3) \\ Charles R Greathouse IV, Jul 07 2011
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CROSSREFS
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Cf. A184619.
Sequence in context: A039043 A116591 A136119 * A110882 A186499 A187911
Adjacent sequences: A184615 A184616 A184617 * A184619 A184620 A184621
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Jan 18 2011
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STATUS
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approved
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