A163535 -id:A163535 - cp's OEIS frontend

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

Antti Karttunen, Aug 01 2009

nonn

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

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

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

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

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

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

Name corrected by Kevin Ryde, Aug 29 2020

A163537 The relative direction (0=straight ahead, 1=turn right, 2=turn left) of the Peano curve A163336 at point n.

Original entry on oeis.org

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

Antti Karttunen, Aug 01 2009

nonn

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

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

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

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

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

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

Name corrected by Kevin Ryde, Aug 29 2020

cp's OEIS Frontend

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

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