A163537 The relative direction (0=straight ahead, 1=turn right, 2=turn left) of the Peano curve A163336 at point n.

0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1

Offset: 1

Author

Antti Karttunen, Aug 01 2009

Keywords

• nonn

Comments

a(9*n) = a(81*n) for all n.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..6561

Crossrefs

Cf. A163535 (direction), A163536 (transposed relative).

Programs

Scheme

(define (A163537 n) (A163241 (modulo (- (A163535 (1+ n)) (A163535 n)) 4)))

Formula

a(n) = A163241((A163535(n+1)-A163535(n)) modulo 4).

a(n) = A014681(A163536(n)).

Extensions

Name corrected by Kevin Ryde, Aug 29 2020