A163536 The relative direction (0=straight ahead, 1=turn right, 2=turn left) of the Peano curve A163334 at point n.

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

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..59049

Crossrefs

Cf. A163534 (direction), A163537 (transposed relative).

Programs

Scheme

(define (A163536 n) (A163241 (modulo (- (A163534 (1+ n)) (A163534 n)) 4)))

Formula

a(n) = A163241((A163534(n+1)-A163534(n)) modulo 4).

a(n) = A014681(A163537(n)).

Extensions

Name corrected by Kevin Ryde, Aug 29 2020