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A033144

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0.

1, 8, 64, 513, 4104, 32832, 262657, 2101256, 16810048, 134480385, 1075843080, 8606744640, 68853957121, 550831656968, 4406653255744, 35253226045953, 282025808367624, 2256206466940992, 18049651735527937, 144397213884223496, 1155177711073787968

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OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (8,0,1,-8).

FORMULA

a(n) = 8*a(n-1) + a(n-3) - 8*a(n-4).

G.f.: x / ((x-1)*(8*x-1)*(x^2+x+1)). - Colin Barker, Apr 30 2014

a(n) = round( (64/511)*8^n ). - Tani Akinari, Jul 15 2014

MATHEMATICA

Module[{nn=30, d}, d=PadRight[{}, nn, {1, 0, 0}]; Table[FromDigits[Take[d, n], 8], {n, nn}]] (* or *) LinearRecurrence[{8, 0, 1, -8}, {1, 8, 64, 513}, 50] (* Harvey P. Dale, Nov 13 2013 *)

CoefficientList[Series[1/((x - 1) (8 x - 1) (x^2 + x + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, May 01 2014 *)

PROG

(PARI) Vec(x/((x-1)*(8*x-1)*(x^2+x+1)) + O(x^100)) \\ Colin Barker, Apr 30 2014

CROSSREFS

Sequence in context: A074113 A074116 A245852 * A238300 A390383 A344271

Adjacent sequences: A033141 A033142 A033143 * A033145 A033146 A033147

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Harvey P. Dale, Nov 13 2013

STATUS

approved

URL: https://oeis.org/A033144

⇱ A033144 - OEIS