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A207673 n+[nr/s]+[nt/s], where []=floor, r=5, s=(1+sqrt(5))/2, t=1/s. 3

%I #8 Jun 10 2020 07:49:39

%S 4,8,13,17,21,26,30,35,39,43,48,53,57,62,66,71,75,79,84,88,93,97,102,

%T 107,111,115,120,124,129,133,137,142,146,151,156,160,165,169,173,178,

%U 182,187,191,195,201,205,209,214,218,223,227,231,236,240,245

%N n+[nr/s]+[nt/s], where []=floor, r=5, s=(1+sqrt(5))/2, t=1/s.

%C The sequences A207672, A207673, A208326 partition the positive integers. To generate them, jointly rank the sets {i/r}, {j/s}, {k*s}. The positions of n/r in the joint ranking form A207672, and likewise for the other sequences.

%C For a guide to related sequences and conjectures, see A206911.

%t r = 5; s = GoldenRatio; t = 1/s;

%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, 60}] (* A207672 *)

%t Table[b[n], {n, 1, 60}] (* A207673 *)

%t Table[c[n], {n, 1, 60}] (* A208326 *)

%Y Cf. A206911, A207672, A208326.

%K nonn

%O 1,1

%A _Clark Kimberling_, Feb 26 2012

%E Definition corrected by _Georg Fischer_, Jun 10 2020

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Last modified May 11 00:12 EDT 2024. Contains 372388 sequences. (Running on oeis4.)