A163535 The absolute direction (0=east, 1=south, 2=west, 3=north) of the Peano curve A163336 at point n.

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

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..6561

Formula

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

a(n) = A004442(A163534(n)).

Prog

(Scheme:) (define (A163535 n) (modulo (+ 3 (A163532 n) (A163533 n) (abs (A163532 n))) 4))

Crossrefs

Cf. A163534 (transposed), A163537 (turn).

Sequence in context: A245626 A307233 A233320 * A288395 A288644 A172169

Adjacent sequences: A163532 A163533 A163534 * A163536 A163537 A163538

Keyword

nonn

Author

Antti Karttunen, Aug 01 2009

Extensions

Name corrected by Kevin Ryde, Aug 29 2020

Status

approved