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A163542 The relative direction (0=straight ahead, 1=turn right, 2=turn left) taken by the type I Hilbert's Hamiltonian walk A163357 at the step n. 7
1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

a(16*n) = a(256*n) for all n.

LINKS

A. Karttunen, Table of n, a(n) for n = 1..65536

FORMULA

a(n) = A163241((A163540(n+1)-A163540(n)) modulo 4).

MATHEMATICA

HC = {L[n_ /; IntegerQ[n/2]] :> {F[n], L[n], L[n + 1], R[n + 2]},

   R[n_ /; IntegerQ[(n + 1)/2]] :> {F[n], R[n], R[n + 3], L[n + 2]},

   R[n_ /; IntegerQ[n/2]] :> {L[n], R[n + 1], R[n], F[n + 3]},

   L[n_ /; IntegerQ[(n + 1)/2]] :> {R[n], L[n + 3], L[n], F[n + 1]},

   F[n_ /; IntegerQ[n/2]] :> {L[n], R[n + 1], R[n], L[n + 3]},

   F[n_ /; IntegerQ[(n + 1)/2]] :> {R[n], L[n + 3], L[n], R[n + 1]}};

a[1] = L[0]; Map[(a[n_ /; IntegerQ[(n - #)/16]] :=

    Part[Flatten[a[(n + 16 - #)/16] /. HC /. HC], #]) &, Range[16]];

Part[a[#] & /@ Range[4^4] /. {L[_] -> 2, R[_] -> 1, F[_] -> 0},

2 ;; -1] (* Bradley Klee, Aug 07 2015 *)

PROG

(Scheme:) (define (A163542 n) (A163241 (modulo (- (A163540 (1+ n)) (A163540 n)) 4)))

CROSSREFS

a(n) = A014681(A163543(n)). See also A163540.

Sequence in context: A344319 A236998 A297116 * A061895 A129678 A261773

Adjacent sequences:  A163539 A163540 A163541 * A163543 A163544 A163545

KEYWORD

nonn

AUTHOR

Antti Karttunen, Aug 01 2009

STATUS

approved

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Last modified June 23 05:01 EDT 2021. Contains 345395 sequences. (Running on oeis4.)