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.

A183042 Least number of knight's moves from (0,0) to the segment of points (0,n), (1,n-1), ..., (n,0) on infinite chessboard.

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%I A183042 #9 May 04 2014 16:54:22
%S A183042 0,6,6,8,12,18,22,28,36,42,52,64,68,82,98,104,118,138,146,164,184,194,
%T A183042 216,240,248,274,302,312,338,370,382,412,444,458,492,528,540,578,618,
%U A183042 632,670,714,730,772,816,834,880,928,944,994
%N A183042 Least number of knight's moves from (0,0) to the segment of points (0,n), (1,n-1), ..., (n,0) on infinite chessboard.
%F A183042 a(n)=T(n,0)+T(n-1,1)+...+T(0,n), where T is formulated at A065775.
%F A183042 Empirical g.f.: 2*x*(x^13-x^9-3*x^7-x^6-4*x^2-3*x-3) / ((x-1)^3*(x+1)*(x^2+1)*(x^2+x+1)^2). - _Colin Barker_, May 04 2014
%e A183042 For n=3, the least number of knight's moves to the points (i.e., squares) (3,0), (2,1), (1,2), (0,3) are 3,1,1,3, respectively, for a total of a(3)=8.
%Y A183042 Cf. A065775.
%K A183042 nonn
%O A183042 0,2
%A A183042 _Clark Kimberling_, Dec 20 2010