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.

A194310 Triangular array: g(n,k)=number of fractional parts (i*e) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n.

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%I A194310 #5 Mar 30 2012 18:57:42
%S A194310 2,2,2,2,2,2,2,2,3,1,3,1,3,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,
%T A194310 2,1,2,3,1,2,2,2,3,1,2,2,2,1,3,3,1,2,3,1,2,3,1,2,2,2,2,2,2,3,2,1,2,2,
%U A194310 3,1,2,3,1,3,2,2,2,1,2,1,3,1,3,1,3,1,3,2,2,2,2,2,2,3,1,2,2,3,1
%N A194310 Triangular array:  g(n,k)=number of fractional parts (i*e) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n.
%C A194310 See A194285.
%e A194310 First nine rows:
%e A194310 2
%e A194310 2..2
%e A194310 2..2..2
%e A194310 2..2..3..1
%e A194310 3..1..3..2..1
%e A194310 2..2..2..2..2..2
%e A194310 2..2..2..2..2..2..2
%e A194310 2..2..2..3..2..2..2..1
%e A194310 2..3..1..2..2..2..3..1..2
%t A194310 r = E;
%t A194310 f[n_, k_, i_] := If[(k - 1)/n <= FractionalPart[i*r] < k/n, 1, 0]
%t A194310 g[n_, k_] := Sum[f[n, k, i], {i, 1, 2n}]
%t A194310 TableForm[Table[g[n, k], {n, 1, 14}, {k, 1, n}]]
%t A194310 Flatten[%]    (* A194310 *)
%Y A194310 Cf. A194285.
%K A194310 nonn,tabl
%O A194310 1,1
%A A194310 _Clark Kimberling_, Aug 21 2011