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A275901 Following the successive antidiagonals in A275895, let the n-th queen appear in square (x(n),y(n)); sequence gives x(n). 8

%I #30 Nov 08 2016 20:08:39

%S 0,1,3,2,4,5,9,6,10,12,7,8,14,11,19,20,13,15,25,16,26,28,17,18,30,33,

%T 21,22,37,23,39,24,42,41,27,29,48,49,31,32,53,55,34,35,58,57,36,38,63,

%U 40,66,68,43,70,44,45,74,46,76,47,77,79,50,51,84,52,85,54,89,90,56,94,59,60,98,61,100,62

%N Following the successive antidiagonals in A275895, let the n-th queen appear in square (x(n),y(n)); sequence gives x(n).

%C See A275902 for y(n).

%C This is a permutation of the nonnegative numbers.

%C This assumes the indexing starts at 0. See A275899, A275900 if the indexing begins at 1.

%H N. J. A. Sloane, <a href="/A275901/b275901.txt">Table of n, a(n) for n = 0..10386</a>

%p See A275899.

%p # Alternative Maple program from _N. J. A. Sloane_, Oct 03 2016

%p # To get 10000 terms of A275902 (xx), A275901 (yy), A276783 (ss), -A276325 (dd)

%p M1:=100000; M2:=22000; M3:=10000;

%p xx:=Array(0..M1,0); yy:=Array(0..M1,0); ss:=Array(0..M1,0); dd:=Array(0..M1,0);

%p xx[0]:=0; yy[0]:=0; ss[0]:=0; dd[0]:=0;

%p for n from 1 to M2 do

%p sw:=-1;

%p for s from ss[n-1]+1 to M2 do

%p for i from 0 to s do

%p x:=s-i; y:=i;

%p if not member(x,xx,'p') and

%p not member(y,yy,'p') and

%p not member(x-y,dd,'p') then sw:=1; break; fi;

%p od: # od i

%p if sw=1 then break; fi;

%p od: # od s

%p if sw=-1 then lprint("error, n=",n); break; fi;

%p xx[n]:=x; yy[n]:=y; ss[n]:=x+y; dd[n]:=x-y;

%p od: # od n

%p [seq(xx[i],i=0..M3)]:

%p [seq(yy[i],i=0..M3)]:

%p [seq(ss[i],i=0..M3)]:

%p [seq(dd[i],i=0..M3)]:

%Y Cf. A065188, A275895, A275899, A275900, A275902.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Aug 24 2016

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)