A163535 - OEIS

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

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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))