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A033140 Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0. 3
1, 4, 16, 65, 260, 1040, 4161, 16644, 66576, 266305, 1065220, 4260880, 17043521, 68174084, 272696336, 1090785345, 4363141380, 17452565520, 69810262081, 279241048324, 1116964193296, 4467856773185, 17871427092740, 71485708370960 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (4,0,1,-4).

FORMULA

a(n) = +4*a(n-1) +a(n-3) -4*a(n-4). G.f.: x / ( (x-1)*(4*x-1)*(1+x+x^2) ). - R. J. Mathar, Jan 08 2011

MATHEMATICA

LinearRecurrence[{4, 0, 1, -4}, {1, 4, 16, 65}, 30] (* Vincenzo Librandi, Jun 21 2012 *)

Table[FromDigits[PadRight[{}, n, {1, 0, 0}], 4], {n, 30}] (* Harvey P. Dale, Apr 15 2018 *)

PROG

(MAGMA) I:=[1, 4, 16, 65]; [n le 4 select I[n] else 4*Self(n-1)+Self(n-3)-4*Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jun 21 2102

CROSSREFS

Sequence in context: A002923 A013149 A175065 * A181879 A243872 A052927

Adjacent sequences:  A033137 A033138 A033139 * A033141 A033142 A033143

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified March 24 00:12 EDT 2019. Contains 321444 sequences. (Running on oeis4.)