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.

A203763 Vandermonde sequence using x^2 - xy + y^2 applied to (1,1,2,2,...,[n/2]).

This page as a plain text file.
%I A203763 #7 Jan 14 2013 10:24:41
%S A203763 1,1,9,324,777924,16810159716,69136555917409344,
%T A203763 4549499535875623543259136,115306876482136485813839025883201536,
%U A203763 73061199694724861313901918528002630365482598400
%N A203763 Vandermonde sequence using x^2 - xy + y^2 applied to (1,1,2,2,...,[n/2]).
%C A203763 See A093883 for a discussion and guide to related sequences.
%t A203763 f[j_] := Floor[(j + 1)/2]; z = 16;
%t A203763 u := Product[f[j]^2 - f[j] f[k] + f[k]^2, {j, 1, k - 1}]
%t A203763 v[n_] := Product[u, {k, 2, n}]
%t A203763 Table[v[n], {n, 1, z}]        (* A203763 *)
%t A203763 Table[v[n + 1]/v[n], {n, 1, z}]  (* A203764 *)
%t A203763 Table[Sqrt[v[n + 1]/v[n]], {n, 1, 20}]  (* A203765 *)
%K A203763 nonn
%O A203763 1,3
%A A203763 _Clark Kimberling_, Jan 05 2012