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A337822 Permutation of the natural numbers formed by numbering an infinite square grid by a counterclockwise diamond spiral and visiting them by a counterclockwise stair step spiral.

%I A337822 #28 Feb 22 2021 20:12:47
%S A337822 1,2,8,3,9,20,10,21,11,4,12,5,13,14,6,15,7,16,30,17,31,18,32,19,33,52,
%T A337822 34,53,35,54,36,55,37,22,38,23,39,24,40,25,41,42,26,43,27,44,28,45,29,
%U A337822 46,68,47,69,48,70,49,71,50,72,51,73,100,74,101,75,102,76
%N A337822 Permutation of the natural numbers formed by numbering an infinite square grid by a counterclockwise diamond spiral and visiting them by a counterclockwise stair step spiral.
%H A337822 Kevin Ryde, <a href="/A337822/b337822.txt">Table of n, a(n) for n = 1..10000</a>
%H A337822 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A337822 a(A102083(n)) = A102083(n) and a(A102083(n)+1) = A102083(n)+1.
%e A337822 The path begins:
%e A337822 .
%e A337822                ---33
%e A337822                    |
%e A337822               34  19--32
%e A337822                        |
%e A337822           35  20---9  18--31  48
%e A337822                |   |       |
%e A337822       36  21--10   3---8  17--30  47
%e A337822            |           |       |
%e A337822   37  22  11---4   1---2   7--16  29  46
%e A337822                |           |
%e A337822       38  23  12---5   6--15  28  45
%e A337822                    |   |
%e A337822           39  24  13--14  27  44
%e A337822 .
%e A337822               40  25  26  43
%e A337822 .
%e A337822                   41  42
%e A337822 .
%Y A337822 Cf. A102083.
%Y A337822 Diamond spiral coordinates (but 0-based): A010751, A305258.
%Y A337822 Same type of visit on other types of spirals: A334619, A337838.
%K A337822 nonn
%O A337822 1,2
%A A337822 _Mohammed Yaseen_, Sep 24 2020