A367914 Movement sequence in the counter-clockwise undulating spiral, whereby 1, 2, 3, 4 represent moves to the right, down, left and up.

1, 4, 3, 4, 3, 2, 3, 2, 1, 2, 1, 2, 1, 4, 1, 4, 1, 4, 3, 4, 3, 4, 3, 4, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4

Offset: 1

Author

Hans G. Oberlack, Dec 04 2023

Keywords

• nonn
• walk

Comments

y ^

|

4 | 2---3

| | |

3 | 2---3 4---3

| | |

2 | 2---3 2---3 4---3

| | | | |

1 | 2---3 2---3 4---3 4---3

| | | | |

0 | 1---2 1---2 1---4 1---4

| | | | |

-1 | 1---2 1-- 2 1---4 1---4

| | | | |

-2 | 1---2 1---4 1---4

| | |

-3 | 1---2 1---4

| | |

-4 | 1---4

+------------------------------------>

-4 -3 -2 -1 0 1 2 3 4 x

Crossrefs

Cf. A359058, A359216, A359217, A063826.

Formula

a(k1)=1 with k1=i^2*8+i*0+2*j+1 with i,j >= 0 and j<=4i.

a(k2)=2 with k2=i^2*8+i*12+2*j+6 with i,j >= 0 and j<=4*i+3.

a(k3)=3 with k3=i^2*8+i*8+2*j+3 with i,j >= 0 and j<=4*i+2.

a(k4)=4 with k4=i^2*8+i*4+2*j+2 with i,j >= 0 and j<=4*i+1.