A163540 - OEIS

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A163540

The absolute direction (0=east, 1=south, 2=west, 3=north) taken by the type I Hilbert's Hamiltonian walk A163357 at the step n.

0, 1, 2, 1, 1, 0, 3, 0, 1, 0, 3, 3, 2, 3, 0, 0, 1, 0, 3, 0, 0, 1, 2, 1, 0, 1, 2, 2, 3, 2, 1, 1, 1, 0, 3, 0, 0, 1, 2, 1, 0, 1, 2, 2, 3, 2, 1, 2, 2, 3, 0, 3, 3, 2, 1, 2, 3, 2, 1, 1, 0, 1, 2, 1, 1, 0, 3, 0, 0, 1, 2, 1, 0, 1, 2, 2, 3, 2, 1, 1, 0, 1, 2, 1, 1, 0, 3, 0, 1, 0, 3, 3, 2, 3, 0, 0, 0, 1, 2, 1, 1, 0 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	COMMENTS	`Taking every sixteenth term gives the same sequence: (and similarly for all higher powers of 16 as well): a(n) = a(16*n).`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 1..65536`
	FORMULA	`a(n) = A010873(A163538(n)+A163539(n)+abs(A163539(n))+3).`
	PROG	`(Scheme:) (define (A163540 n) (modulo (+ 3 (A163538 n) (A163539 n) (abs (A163539 n))) 4))`
	CROSSREFS	`a(n) = A163540(A008598(n)) = A004442(A163541(n)). See also A163542.` `Sequence in context: A065715 A180984 A051628 * A127967 A147602 A114206` `Adjacent sequences: A163537 A163538 A163539 * A163541 A163542 A163543`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Aug 01 2009`

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.