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A275902 Following the successive antidiagonals in A275895, let the n-th queen appear in square (x(n),y(n)); sequence gives y(n). 7
0, 2, 1, 4, 3, 8, 5, 10, 7, 6, 12, 14, 9, 18, 11, 13, 21, 24, 15, 26, 17, 16, 28, 30, 19, 20, 34, 36, 22, 38, 23, 40, 25, 27, 44, 47, 29, 31, 50, 52, 32, 33, 55, 57, 35, 37, 59, 62, 39, 65, 41, 42, 69, 43, 71, 73, 45, 75, 46, 77, 49, 48, 81, 83, 51, 85, 53, 88, 54, 56, 91, 58, 95, 97, 60, 99, 61, 101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See A275901 for x(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, A275901.

Sequence in context: A182177 A281878 A106625 * A008347 A112387 A193174

Adjacent sequences:  A275899 A275900 A275901 * A275903 A275904 A275905

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 24 2016

STATUS

approved

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Last modified April 14 21:21 EDT 2021. Contains 342962 sequences. (Running on oeis4.)