The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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. 9
 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; text; 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). 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] = F[0]; Map[(a[n_ /; IntegerQ[(n - #)/16]] :=     Part[Flatten[a[(n + 16 - #)/16] /. HC /. HC], #]) &, Range[16]]; Part[FoldList[Mod[Plus[#1, #2], 4] &, 0,   a[#] & /@ Range[4^4] /. {F[n_] :> 0, L[n_] :> 1, R[n_] :> -1}], 2 ;; -1] (* Bradley Klee, Aug 07 2015 *) 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, Aug 01 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 4 15:53 EDT 2021. Contains 346447 sequences. (Running on oeis4.)