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A189381
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a(n) = n + [n*r/s] + [n*t/s]; r=1, s=-1+sqrt(2), t=1+sqrt(2).
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3
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8, 17, 27, 36, 46, 54, 63, 73, 82, 92, 101, 109, 119, 128, 138, 147, 157, 165, 174, 184, 193, 203, 212, 220, 230, 239, 249, 258, 268, 276, 285, 295, 304, 314, 322, 331, 341, 350, 360, 369, 377, 387, 396, 406, 415, 425, 433, 442, 452, 461, 471, 480, 488, 498, 507, 517, 526, 536, 544, 553, 563, 572, 582, 591, 599, 609, 618, 628, 637, 645, 655, 664, 674, 683, 693, 701, 710, 720, 729, 739, 748, 756, 766
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OFFSET
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1,1
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COMMENTS
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(See A189380.)
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 1..10000
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MATHEMATICA
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r=1; s=-1+2^(1/2); t=1+2^(1/2);
f[n_] := n + Floor[n*s/r] + Floor[n*t/r];
g[n_] := n + Floor[n*r/s] + Floor[n*t/s];
h[n_] := n + Floor[n*r/t] + Floor[n*s/t];
Table[f[n], {n, 1, 120}] (* A189380 *)
Table[g[n], {n, 1, 120}] (* A189381 *)
Table[h[n], {n, 1, 120}] (* A189382 *)
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PROG
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(PARI) for(n=1, 100, print1(n + floor(n/(sqrt(2) -1)) + floor(n*(sqrt(2)+1)/(sqrt(2)-1)), ", ")) \\ G. C. Greubel, Apr 20 2018
(Magma) [n + Floor(n/(Sqrt(2) -1)) + Floor(n*(Sqrt(2)+1)/(Sqrt(2) - 1)): n in [1..100]]; // G. C. Greubel, Apr 20 2018
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CROSSREFS
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Cf. A189380, A189382.
Sequence in context: A052222 A341009 A044441 * A190749 A056121 A264355
Adjacent sequences: A189378 A189379 A189380 * A189382 A189383 A189384
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Apr 20 2011
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STATUS
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approved
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