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

1,2

Comments

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

Links

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

Formula

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

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

Prog

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

Crossrefs

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

Sequence in context: A187752 A295181 A215573 * A219946 A117449 A004594

Adjacent sequences: A163534 A163535 A163536 * A163538 A163539 A163540

Keyword

nonn

Author

Antti Karttunen, Aug 01 2009

Extensions

Name corrected by Kevin Ryde, Aug 29 2020

Status

approved