A033132 - OEIS

A033132

Base-5 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0.

1, 6, 30, 151, 756, 3780, 18901, 94506, 472530, 2362651, 11813256, 59066280, 295331401, 1476657006, 7383285030, 36916425151, 184582125756, 922910628780, 4614553143901, 23072765719506, 115363828597530, 576819142987651

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (5,0,1,-5).

FORMULA

a(n) = 5*a(n-1) + a(n-3) - 5*a(n-4).

a(n) = floor( (15/62)*5^n ). - Tani Akinari, Jul 16 2014

G.f.: x*(x+1) / ((x-1)*(5*x-1)*(x^2+x+1)). - Colin Barker, Jul 17 2014

EXAMPLE

The first six terms have base 5 representations 1, 11, 110, 1101, 11011, 110110.

MATHEMATICA

Table[FromDigits[PadRight[{}, n, {1, 1, 0}], 5], {n, 30}] (* Harvey P. Dale, Sep 06 2015 *)

PROG

(PARI) Vec(x*(x+1)/((x-1)*(5*x-1)*(x^2+x+1)) + O(x^100)) \\ Colin Barker, Jul 17 2014

CROSSREFS

Cf. A033137 (similar in base 10).

Sequence in context: A105488 A252699 A054117 * A022023 A066534 A126474

Adjacent sequences: A033129 A033130 A033131 * A033133 A033134 A033135

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved