The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A194666 Number of k in [1,n] for which + > 1, where < > = fractional part and r = sqrt(3). 4
 1, 0, 0, 0, 2, 0, 3, 0, 2, 0, 6, 0, 5, 0, 8, 0, 9, 0, 10, 0, 11, 0, 10, 0, 13, 0, 11, 0, 8, 0, 16, 0, 17, 0, 15, 0, 19, 0, 16, 0, 18, 0, 21, 0, 7, 0, 15, 0, 9, 0, 21, 0, 27, 0, 28, 0, 27, 0, 19, 0, 11, 0, 24, 0, 29, 0, 9, 0, 23, 0, 18, 0, 6, 0, 16, 0, 39, 0, 39, 0, 32, 0, 2, 0, 6, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS MATHEMATICA r = Sqrt[3]; z = 13; p[x_] := FractionalPart[x]; f[x_] := Floor[x]; w[n_, k_] := p[r^n] + p[r^k] - p[r^n + r^k] Flatten[Table[w[n, k], {n, 1, z}, {k, 1, n}]] TableForm[Table[w[n, k], {n, 1, z}, {k, 1, n}]] s[n_] := Sum[w[n, k], {k, 1, n}]  (* A194666 *) Table[s[n], {n, 1, 100}] h[n_, k_] := f[p[n*r] + p[k*r]] Flatten[Table[h[n, k], {n, 1, z}, {k, 1, n}]]   (* A194667 *) TableForm[Table[h[n, k], {n, 1, z}, {k, 1, n}]] t[n_] := Sum[h[n, k], {k, 1, n}] Table[t[n], {n, 1, 100}]   (* A194668 *) CROSSREFS Sequence in context: A128143 A292561 A027640 * A325799 A229946 A127460 Adjacent sequences:  A194663 A194664 A194665 * A194667 A194668 A194669 KEYWORD nonn AUTHOR Clark Kimberling, Sep 01 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 4 15:25 EDT 2021. Contains 346447 sequences. (Running on oeis4.)