id:A163540 - OEIS Search Results

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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
7

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; listen)

	OFFSET	`1,3`
	COMMENT	`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).`
	PROGRAM	`(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: A110962 A065715 A051628 this_sequence A127967 A147602 A114206` `Adjacent sequences: A163537 A163538 A163539 this_sequence A163541 A163542 A163543`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Aug 01 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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