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A220102
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Permutation of natural numbers arising from applying the walk of square spiral (e.g. A214526) to the data of double square spiral (defined in A220098).
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0
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1, 2, 4, 6, 8, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 50, 52, 54, 56
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internal format)
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OFFSET
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1,2
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LINKS
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PROG
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(C)
#include <stdio.h>
#define SIZE 20
int grid[SIZE][SIZE];
int direction[] = {0, -1, 1, 0, 0, 1, -1, 0};
main() {
int i, j, x1, y1, x2, y2, stepSize;
int direction1pos=0, direction2pos=4, val;
x1 = y1 = x2 = y2 = SIZE/2;
for (val=grid[y1][x1]=1, stepSize=0; ; ++stepSize) {
if (x1<1 || x1>=SIZE-1 || x2<1 || x2>=SIZE-1) break;
if (y1<1 || y1>=SIZE-1 || y2<1 || y2>=SIZE-1) break;
for (i=stepSize|1; i; ++val, --i) {
x1 += direction[direction1pos ];
y1 += direction[direction1pos+1];
x2 += direction[direction2pos ];
y2 += direction[direction2pos+1];
grid[y1][x1] = val*2;
grid[y2][x2] = val*2+1;
}
direction1pos = (direction1pos+2) & 7;
direction2pos = (direction2pos+2) & 7;
}
direction1pos=0;
x1 = y1 = SIZE/2;
for (stepSize=2; ; ++stepSize) {
for (i=stepSize/2; i; --i) {
if (grid[y1][x1]==0) return;
printf("%d, ", grid[y1][x1]);
x1 += direction[direction1pos ];
y1 += direction[direction1pos+1];
}
direction1pos = (direction1pos+2) & 7;
}
}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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