A163534 The absolute direction (0=east, 1=south, 2=west, 3=north) of the Peano curve A163334 at point n.

0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 3, 0, 0, 3, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 3

Offset

1,4

Comments

Taking every ninth term gives the same sequence: (and similarly for all higher powers of 9 as well): a(n) = a(9*n).

Links

Antti Karttunen, Table of n, a(n) for n = 1..59049

Formula

a(n) = A010873(A163532(n)+A163533(n)+abs(A163533(n))+3).

a(n) = A004442(A163535(n)).

Prog

(Scheme:) (define (A163534 n) (modulo (+ 3 (A163532 n) (A163533 n) (abs (A163533 n))) 4))

Crossrefs

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

Sequence in context: A119836 A158112 A219496 * A255124 A030619 A016370

Adjacent sequences: A163531 A163532 A163533 * A163535 A163536 A163537

Keyword

nonn

Author

Antti Karttunen, Aug 01 2009

Extensions

Name corrected by Kevin Ryde, Aug 29 2020

Status

approved