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

1,2

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

Links

Table of n, a(n) for n=1..94.

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.

Crossrefs

Cf. A359058, A359216, A359217, A063826.

Sequence in context: A356033 A002285 A106049 * A238234 A367439 A367126

Adjacent sequences: A367911 A367912 A367913 * A367915 A367916 A367917

Keyword

nonn,walk

Author

Hans G. Oberlack, Dec 04 2023

Status

approved