id:A163534 - OEIS Search Results

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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
6

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; listen)

	OFFSET	`1,4`
	COMMENT	`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).`
	PROGRAM	`(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 this_sequence A030619 A016370 A089069` `Adjacent sequences: A163531 A163532 A163533 this_sequence A163535 A163536 A163537`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Aug 01 2009`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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