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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). 7
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, 21, 22, 37, 23, 39, 24, 42, 41, 27, 29, 48, 49, 31, 32, 53, 55, 34, 35, 58, 57, 36, 38, 63, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

See A275902 for y(n).

This is a permutation of the nonnegative numbers.

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

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..10386

MAPLE

See A275899.

# Alternative Maple program from N. J. A. Sloane, Oct 03 2016

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

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

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

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

for n from 1 to M2 do

sw:=-1;

   for s from ss[n-1]+1 to M2 do

      for i from 0 to s do

         x:=s-i; y:=i;

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

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

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

      od:  # od i

if sw=1 then break; fi;

   od: # od s

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

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

od: # od n

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

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

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

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

CROSSREFS

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

Sequence in context: A164287 A086962 A001612 * A305369 A097092 A241417

Adjacent sequences:  A275898 A275899 A275900 * A275902 A275903 A275904

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 24 2016

STATUS

approved

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Last modified May 21 18:53 EDT 2019. Contains 323444 sequences. (Running on oeis4.)