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A189528
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a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sqrt(3)-sqrt(2), t=sqrt(3)+sqrt(2).
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3
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13, 27, 41, 55, 69, 83, 98, 112, 126, 139, 153, 167, 181, 196, 210, 224, 238, 252, 266, 279, 294, 308, 322, 336, 350, 364, 378, 393, 407, 420, 434, 448, 462, 476, 491, 505, 519, 533, 547, 560, 574, 589, 603, 617, 631, 645, 659, 674, 688, 701, 715, 729, 743, 757, 772, 786, 800, 814, 828, 841, 855, 870, 884, 898, 912
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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r=1; s=3^(1/2)-2^(1/2); t=3^(1/2)+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}] (* A189527 *)
Table[g[n], {n, 1, 120}] (* A189528 *)
Table[h[n], {n, 1, 120}] (* A189529 *)
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PROG
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(PARI) for(n=1, 100, print1(n + floor(n/(sqrt(3) - sqrt(2))) + floor(n*(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))), ", ")) \\ G. C. Greubel, Apr 20 2018
(Magma) [n + Floor(n/(Sqrt(3)-Sqrt(2))) + Floor(n*(Sqrt(3) +Sqrt(2))/( Sqrt(3) -Sqrt(2))): n in [1..100]]; // G. C. Greubel, Apr 20 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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