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 A190061 a(n) = n + [n*r/t] + [n*s/t]; r=1, s=sin(Pi/5), t=csc(Pi/5). 3

%I #11 Sep 08 2022 08:45:56

%S 1,3,5,7,8,11,13,14,17,18,20,23,24,26,28,30,31,34,36,37,40,41,43,46,

%T 47,49,51,53,56,57,59,61,63,64,67,69,70,73,74,76,79,80,82,84,86,88,90,

%U 92,93,96,97,99,102,103,106,107,109,112,113,115,117,119,121,123,125,126,129,130,132,135,136,138,140,142,144

%N a(n) = n + [n*r/t] + [n*s/t]; r=1, s=sin(Pi/5), t=csc(Pi/5).

%C See A190059.

%H G. C. Greubel, <a href="/A190061/b190061.txt">Table of n, a(n) for n = 1..10000</a>

%F A190059: a(n) = n + [n*sin(Pi/5)] + [n*csc(Pi/5].

%F A190060: b(n) = n + [n*csc(Pi/5)] + [n*(csc(Pi/5))^2].

%F A190061: c(n) = n + [n*sin(Pi/5)] + [n*(sin(Pi/5))^2].

%t r=1; s=Sin[Pi/5]; t=Csc[Pi/5];

%t a[n_] := n + Floor[n*s/r] + Floor[n*t/r];

%t b[n_] := n + Floor[n*r/s] + Floor[n*t/s];

%t c[n_] := n + Floor[n*r/t] + Floor[n*s/t];

%t Table[a[n], {n, 1, 120}] (*A190059*)

%t Table[b[n], {n, 1, 120}] (*A190060*)

%t Table[c[n], {n, 1, 120}] (*A190061*)

%o (PARI) for(n=1,30, print1(n + floor(n*sin(Pi/5)) + floor(n*(sin(Pi/5))^2), ", ")) \\ _G. C. Greubel_, Jan 10 2018

%o (Magma) C<i> := ComplexField(); [n + Floor(n*Sin(Pi(C)/5)) + Floor(n*(Sin(Pi(C)/5))^2): n in [1..30]]; // _G. C. Greubel_, Jan 10 2018

%Y Cf. A190059, A190060.

%K nonn

%O 1,2

%A _Clark Kimberling_, May 04 2011

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Last modified October 4 19:37 EDT 2023. Contains 365888 sequences. (Running on oeis4.)