A163534 - OEIS

This site is supported by donations to The OEIS Foundation.

A163534

The absolute direction (0=east, 1=south, 2=west, 3=north) taken by the type II Hilbert's Hamiltonian walk A163334 at the step 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 (list; graph; refs; listen; history; 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	`A. Karttunen, Table of n, a(n) for n = 1..59049`
	FORMULA	`a(n) = A010873(A163532(n)+A163533(n)+abs(A163533(n))+3).`
	PROG	`(Scheme:) (define (A163534 n) (modulo (+ 3 (A163532 n) (A163533 n) (abs (A163533 n))) 4))`
	CROSSREFS	`a(n) = A163534(A008591(n)) = A004442(A163535(n)). See also A163536.` `Sequence in context: A069521 A119836 A158112 * A030619 A016370 A089069` `Adjacent sequences: A163531 A163532 A163533 * A163535 A163536 A163537`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Aug 01 2009`

Content is available under The OEIS End-User License Agreement .

Last modified February 15 09:15 EST 2012. Contains 205753 sequences.