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A163534 The absolute direction (0=east, 1=south, 2=west, 3=north) of the Peano curve A163334 at point n. 6
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 19 20:23 EDT 2021. Contains 345145 sequences. (Running on oeis4.)