A275899 Following the successive antidiagonals in A065188, let the n-th queen appear in square (x(n),y(n)); sequence gives x(n).

1, 2, 4, 3, 5, 6, 10, 7, 11, 13, 8, 9, 15, 12, 20, 21, 14, 16, 26, 17, 27, 29, 18, 19, 31, 34, 22, 23, 38, 24, 40, 25, 43, 42, 28, 30, 49, 50, 32, 33, 54, 56, 35, 36, 59, 58, 37, 39, 64, 41, 67, 69, 44, 71, 45, 46, 75, 47, 77, 48, 78, 80, 51, 52, 85, 53, 86, 55, 90, 91, 57, 95, 60, 61, 99, 62, 101, 63

Offset: 1

Author

N. J. A. Sloane, Aug 24 2016

Keywords

• nonn

Comments

See A275900 for y(n).

This is a permutation of the natural numbers.

This assumes the indexing starts at 1. See A275901, A275902 if the indexing begins at 0.

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..7500

Crossrefs

Cf. A065188, A275900, A275901, A275902.

Programs

Maple

# To get the coordinates of queens in order of appearance; b8[] has list of terms of A065188
M:=7500; c1:=[]; c2:=[];
t1:=[seq(n+b8[n],n=1..M)];
t2:=sort(t1);
for n from 1 to M do
i:=t2[n]; member(i,t1,'j');
c1:=[op(c1),j]; c2:=[op(c2),b8[j]];
od:
c3:=map(x->x-1,c1):
c4:=map(x->x-1,c2):
[seq(c1[n],n=1..80)]; # A275899
[seq(c2[n],n=1..80)]; # A275900
[seq(c3[n],n=1..80)]; @ A275901
[seq(c4[n],n=1..80)]; @ A275902