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A275899
Following the successive antidiagonals in A065188, let the n-th queen appear in square (x(n),y(n)); sequence gives x(n).
4
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
1,2
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
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
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 24 2016
STATUS
approved