cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A194317 Triangular array: g(n,k)=number of fractional parts (i*sqrt(8)) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=n.

This page as a plain text file.
%I A194317 #5 Mar 30 2012 18:57:42
%S A194317 1,0,2,0,2,1,0,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,2,1,0,1,1,1,0,2,
%T A194317 2,1,0,1,1,0,2,2,0,2,1,0,1,1,1,2,0,2,1,1,1,0,2,0,2,0,2,1,1,1,1,1,0,2,
%U A194317 0,2,0,2,0,2,0,2,0,2,0,2,0,1,1,1,1,0,2,0,3,0,2,0,2,0,1,1,0,2,0
%N A194317 Triangular array:  g(n,k)=number of fractional parts (i*sqrt(8)) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=n.
%C A194317 See A194285.
%e A194317 First eight rows:
%e A194317 1
%e A194317 0..2
%e A194317 0..2..1
%e A194317 0..2..1..1
%e A194317 1..1..1..1..1
%e A194317 1..1..1..1..1..1
%e A194317 1..0..1..1..1..2..1
%e A194317 0..1..1..1..0..2..2..1
%t A194317 r = Sqrt[8];
%t A194317 f[n_, k_, i_] := If[(k - 1)/n <= FractionalPart[i*r] < k/n, 1, 0]
%t A194317 g[n_, k_] := Sum[f[n, k, i], {i, 1, n}]
%t A194317 TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
%t A194317 Flatten[%]    (* A194317 *)
%Y A194317 Cf. A194285.
%K A194317 nonn,tabl
%O A194317 1,3
%A A194317 _Clark Kimberling_, Aug 22 2011